56220 has 24 divisors (see below), whose sum is σ = 157584. Its totient is φ = 14976.

The previous prime is 56209. The next prime is 56237. The reversal of 56220 is 2265.

56220 = T₁₀₁ + T₁₀₂ + ... + T₁₁₀.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 56220.

It is a congruent number.

It is an unprimeable number.

56220 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 7 ways as a sum of consecutive naturals, for example, 409 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (6566).

2⁵⁶²²⁰ is an apocalyptic number.

It is an amenable number.

56220 is an abundant number, since it is smaller than the sum of its proper divisors (101364).

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 (78792).

56220 is a wasteful number, since it uses less digits than its factorization.

56220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56220 is about 237.1075705244. The cubic root of 56220 is about 38.3086587690.

Adding to 56220 its reverse (2265), we get a palindrome (58485).

It can be divided in two parts, 56 and 220, that added together give a triangular number (276 = T₂₃).

The spelling of 56220 in words is "fifty-six thousand, two hundred twenty".