56408720 has 160 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 19243008.

The previous prime is 56408629. The next prime is 56408753. The reversal of 56408720 is 2780465.

56408720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956051 + ... + 956109.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^56408720 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 56408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

56408720 is an abundant number, since it is smaller than the sum of its proper divisors (96260080).

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

56408720 is a wasteful number, since it uses less digits than its factorization.

56408720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 56408720 is about 7510.5738795381. The cubic root of 56408720 is about 383.5147589011.

The spelling of 56408720 in words is "fifty-six million, four hundred eight thousand, seven hundred twenty".