56791152 has 320 divisors, whose sum is σ = 203558400. Its totient is φ = 14929920.

The previous prime is 56791129. The next prime is 56791159. The reversal of 56791152 is 25119765.

56791152 is a `hidden beast` number, since 567 + 91 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56791159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1534878 + ... + 1534914.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 2^56791152 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 56791152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

56791152 is an abundant number, since it is smaller than the sum of its proper divisors (146767248).

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

56791152 is a wasteful number, since it uses less digits than its factorization.

56791152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 56791152 is about 7535.9904458538. The cubic root of 56791152 is about 384.3795076211.

It can be divided in two parts, 567 and 91152, that added together give a palindrome (91719).

The spelling of 56791152 in words is "fifty-six million, seven hundred ninety-one thousand, one hundred fifty-two".