56880 has 60 divisors (see below), whose sum is σ = 193440. Its totient is φ = 14976.

The previous prime is 56873. The next prime is 56891. The reversal of 56880 is 8865.

56880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

56880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁵⁶⁸⁸⁰ 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 56880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96720).

56880 is an abundant number, since it is smaller than the sum of its proper divisors (136560).

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

56880 is a wasteful number, since it uses less digits than its factorization.

56880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56880 is about 238.4952829722. The cubic root of 56880 is about 38.4579853128.

The spelling of 56880 in words is "fifty-six thousand, eight hundred eighty".