32568 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 10208.

The previous prime is 32563. The next prime is 32569. The reversal of 32568 is 86523.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a cake number, because a cake can be divided into 32568 parts by 58 planar cuts.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32568.

It is not an unprimeable number, because it can be changed into a prime (32561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³²⁵⁶⁸ 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 32568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

32568 is an abundant number, since it is smaller than the sum of its proper divisors (53832).

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

32568 is a wasteful number, since it uses less digits than its factorization.

32568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

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

The square root of 32568 is about 180.4660632917. The cubic root of 32568 is about 31.9347629276.

It can be divided in two parts, 325 and 68, that added together give a palindrome (393).

The spelling of 32568 in words is "thirty-two thousand, five hundred sixty-eight".