10656 has 36 divisors (see below), whose sum is σ = 31122. Its totient is φ = 3456.

The previous prime is 10651. The next prime is 10657. The reversal of 10656 is 65601.

10656 = T₃ + T₄ + ... + T₃₉.

10656 is a `hidden beast` number, since 10 + 656 = 666.

10656 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 3600 = 84^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10656² = 227100672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (10651) by changing a digit.

10656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 270 + ... + 306.

2¹⁰⁶⁵⁶ is an apocalyptic number.

10656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561).

10656 is an abundant number, since it is smaller than the sum of its proper divisors (20466).

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

10656 is a wasteful number, since it uses less digits than its factorization.

10656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10656 is about 103.2279032045. The cubic root of 10656 is about 22.0055082626.

Subtracting 10656 from its reverse (65601), we obtain a palindrome (54945).

It can be divided in two parts, 10 and 656, that added together give a palindrome (666).

The spelling of 10656 in words is "ten thousand, six hundred fifty-six".