22568 has 32 divisors (see below), whose sum is σ = 53760. Its totient is φ = 8640.

The previous prime is 22567. The next prime is 22571. The reversal of 22568 is 86522.

It is a happy number.

22568 is nontrivially palindromic in base 6.

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (22567) 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, 713 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2²²⁵⁶⁸ is an apocalyptic number.

22568 is a gapful number since it is divisible by the number (28) 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 22568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880).

22568 is an abundant number, since it is smaller than the sum of its proper divisors (31192).

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

22568 is a wasteful number, since it uses less digits than its factorization.

22568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 22568 is about 150.2264956657. The cubic root of 22568 is about 28.2594924636.

The spelling of 22568 in words is "twenty-two thousand, five hundred sixty-eight".