22656 has 32 divisors (see below), whose sum is σ = 61200. Its totient is φ = 7424.

The previous prime is 22651. The next prime is 22669. The reversal of 22656 is 65622.

22656 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22656.

It is not an unprimeable number, because it can be changed into a prime (22651) by changing a digit.

22656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 355 + ... + 413.

2²²⁶⁵⁶ 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 22656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600).

22656 is an abundant number, since it is smaller than the sum of its proper divisors (38544).

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

22656 is an equidigital number, since it uses as much as digits as its factorization.

22656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 22656 is about 150.5191017778. The cubic root of 22656 is about 28.2961758204.

It can be divided in two parts, 226 and 56, that added together give a palindrome (282).

The spelling of 22656 in words is "twenty-two thousand, six hundred fifty-six".