56832 has 40 divisors (see below), whose sum is σ = 155496. Its totient is φ = 18432.

The previous prime is 56827. The next prime is 56843. The reversal of 56832 is 23865.

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

It is a congruent number.

It is an unprimeable number.

56832 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, 1518 + ... + 1554.

2⁵⁶⁸³² 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 56832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748).

56832 is an abundant number, since it is smaller than the sum of its proper divisors (98664).

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

56832 is an equidigital number, since it uses as much as digits as its factorization.

56832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

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

The square root of 56832 is about 238.3946308120. The cubic root of 56832 is about 38.4471642696.

It can be divided in two parts, 56 and 832, that added together give a palindrome (888).

The spelling of 56832 in words is "fifty-six thousand, eight hundred thirty-two".