56587520 has 72 divisors (see below), whose sum is σ = 147903840. Its totient is φ = 20572160.

The previous prime is 56587519. The next prime is 56587547. The reversal of 56587520 is 2578565.

56587520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12071 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (2054220).

Almost surely, 2^56587520 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 56587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73951920).

56587520 is an abundant number, since it is smaller than the sum of its proper divisors (91316320).

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

56587520 is a wasteful number, since it uses less digits than its factorization.

56587520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 56587520 is about 7522.4676802230. The cubic root of 56587520 is about 383.9195433289.

The spelling of 56587520 in words is "fifty-six million, five hundred eighty-seven thousand, five hundred twenty".