56180 has 18 divisors (see below), whose sum is σ = 120246. Its totient is φ = 22048.

The previous prime is 56179. The next prime is 56197. The reversal of 56180 is 8165.

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 40804 = 124^2 + 202^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034 + ... + 1086.

2⁵⁶¹⁸⁰ is an apocalyptic number.

It is an amenable number.

56180 is an abundant number, since it is smaller than the sum of its proper divisors (64066).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60123).

56180 is a wasteful number, since it uses less digits than its factorization.

56180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 56180 is about 237.0232056150. The cubic root of 56180 is about 38.2995711969.

Multiplying 56180 by its sum of digits (20), we get a square (1123600 = 1060²).

56180 divided by its sum of digits (20) gives a square (2809 = 53²).

The spelling of 56180 in words is "fifty-six thousand, one hundred eighty".