56611584 has 54 divisors (see below), whose sum is σ = 163231796. Its totient is φ = 18869760.

The previous prime is 56611543. The next prime is 56611589. The reversal of 56611584 is 48511665.

56611584 is a `hidden beast` number, since 5 + 66 + 11 + 584 = 666.

56611584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56611589) 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 5 ways as a sum of consecutive naturals, for example, 9982 + ... + 14589.

Almost surely, 2^56611584 is an apocalyptic number.

It is an amenable number.

56611584 is an abundant number, since it is smaller than the sum of its proper divisors (106620212).

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

56611584 is a wasteful number, since it uses less digits than its factorization.

56611584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24593 (or 24576 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 56611584 is about 7524.0669853478. The cubic root of 56611584 is about 383.9739565671.

The spelling of 56611584 in words is "fifty-six million, six hundred eleven thousand, five hundred eighty-four".