6696 has 32 divisors (see below), whose sum is σ = 19200. Its totient is φ = 2160.

The previous prime is 6691. The next prime is 6701. The reversal of 6696 is 6966.

It is an interprime number because it is at equal distance from previous prime (6691) and next prime (6701).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1944) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

2^{6696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600).

6696 is an abundant number, since it is smaller than the sum of its proper divisors (12504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6696 is a wasteful number, since it uses less digits than its factorization.

6696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 6696 is about 81.8290901819. The cubic root of 6696 is about 18.8482839143.

It can be divided in two parts, 66 and 96, that multiplied together give a palindrome (6336).

The spelling of 6696 in words is "six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696

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