56785120 has 72 divisors (see below), whose sum is σ = 156079224. Its totient is φ = 19466496.

The previous prime is 56785109. The next prime is 56785133. The reversal of 56785120 is 2158765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4219 + ... + 11461.

It is an arithmetic number, because the mean of its divisors is an integer number (2167767).

Almost surely, 2^56785120 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 56785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78039612).

56785120 is an abundant number, since it is smaller than the sum of its proper divisors (99294104).

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

56785120 is a wasteful number, since it uses less digits than its factorization.

56785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 56785120 is about 7535.5902224046. The cubic root of 56785120 is about 384.3658983457.

The spelling of 56785120 in words is "fifty-six million, seven hundred eighty-five thousand, one hundred twenty".