56586080 has 48 divisors (see below), whose sum is σ = 135327024. Its totient is φ = 22356480.

The previous prime is 56586071. The next prime is 56586119. The reversal of 56586080 is 8068565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11150 + ... + 15410.

It is an arithmetic number, because the mean of its divisors is an integer number (2819313).

Almost surely, 2^56586080 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 56586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67663512).

56586080 is an abundant number, since it is smaller than the sum of its proper divisors (78740944).

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

56586080 is a wasteful number, since it uses less digits than its factorization.

56586080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 56586080 is about 7522.3719663415. The cubic root of 56586080 is about 383.9162867284.

The spelling of 56586080 in words is "fifty-six million, five hundred eighty-six thousand, eighty".