56756832 has 96 divisors (see below), whose sum is σ = 165037824. Its totient is φ = 16934400.

The previous prime is 56756827. The next prime is 56756867. The reversal of 56756832 is 23865765.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74598 + ... + 75354.

It is an arithmetic number, because the mean of its divisors is an integer number (1719144).

Almost surely, 2^56756832 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 56756832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82518912).

56756832 is an abundant number, since it is smaller than the sum of its proper divisors (108280992).

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

56756832 is a wasteful number, since it uses less digits than its factorization.

56756832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 56756832 is about 7533.7130287794. The cubic root of 56756832 is about 384.3020626759.

The spelling of 56756832 in words is "fifty-six million, seven hundred fifty-six thousand, eight hundred thirty-two".