56053584 has 60 divisors (see below), whose sum is σ = 158528916. Its totient is φ = 18487296.

The previous prime is 56053583. The next prime is 56053589. The reversal of 56053584 is 48535065.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 19184400 = 6072^2 + 4380^2 .

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 (56053583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11962 + ... + 15974.

Almost surely, 2^56053584 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 56053584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79264458).

56053584 is an abundant number, since it is smaller than the sum of its proper divisors (102475332).

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

56053584 is a wasteful number, since it uses less digits than its factorization.

56053584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 56053584 is about 7486.8941491115. The cubic root of 56053584 is about 382.7082244455.

The spelling of 56053584 in words is "fifty-six million, fifty-three thousand, five hundred eighty-four".