233568 has 36 divisors (see below), whose sum is σ = 665028. Its totient is φ = 77760.

The previous prime is 233557. The next prime is 233591. The reversal of 233568 is 865332.

233568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (18473).

2²³³⁵⁶⁸ 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 233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332514).

233568 is an abundant number, since it is smaller than the sum of its proper divisors (431460).

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

233568 is a wasteful number, since it uses less digits than its factorization.

233568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 233568 is about 483.2887335745. The cubic root of 233568 is about 61.5844566394.

The spelling of 233568 in words is "two hundred thirty-three thousand, five hundred sixty-eight".