23568 has 20 divisors (see below), whose sum is σ = 61008. Its totient is φ = 7840.

The previous prime is 23567. The next prime is 23581. The reversal of 23568 is 86532.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁵ + 3⁹ + 5⁵ + 6³ + 8³ .

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (23561) 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 3 ways as a sum of consecutive naturals, for example, 198 + ... + 293.

2²³⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

23568 is an abundant number, since it is smaller than the sum of its proper divisors (37440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30504).

23568 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 23568 = (35286)₉.

23568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 23568 is about 153.5187284992. The cubic root of 23568 is about 28.6708725275.

It can be divided in two parts, 235 and 68, that added together give a palindrome (303).

The spelling of 23568 in words is "twenty-three thousand, five hundred sixty-eight".