56587680 has 96 divisors (see below), whose sum is σ = 198072000. Its totient is φ = 15088896.

The previous prime is 56587669. The next prime is 56587709. The reversal of 56587680 is 8678565.

56587680 is a `hidden beast` number, since 5 + 6 + 587 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230 + ... + 10869.

It is an arithmetic number, because the mean of its divisors is an integer number (2063250).

Almost surely, 2^56587680 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 56587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99036000).

56587680 is an abundant number, since it is smaller than the sum of its proper divisors (141484320).

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

56587680 is a wasteful number, since it uses less digits than its factorization.

56587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 56587680 is about 7522.4783150236. The cubic root of 56587680 is about 383.9199051700.

The spelling of 56587680 in words is "fifty-six million, five hundred eighty-seven thousand, six hundred eighty".