56507680 has 24 divisors (see below), whose sum is σ = 133499772. Its totient is φ = 22603008.

The previous prime is 56507669. The next prime is 56507681. The reversal of 56507680 is 8670565.

56507680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56490256 + 17424 = 7516^2 + 132^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56507681) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 176427 + ... + 176746.

Almost surely, 2^56507680 is an apocalyptic number.

It is an amenable number.

56507680 is an abundant number, since it is smaller than the sum of its proper divisors (76992092).

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

56507680 is a wasteful number, since it uses less digits than its factorization.

56507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353188 (or 353180 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 56507680 is about 7517.1590378281. The cubic root of 56507680 is about 383.7388994727.

The spelling of 56507680 in words is "fifty-six million, five hundred seven thousand, six hundred eighty".