59220 has 72 divisors (see below), whose sum is σ = 209664. Its totient is φ = 13248.

The previous prime is 59219. The next prime is 59221. The reversal of 59220 is 2295.

It is an interprime number because it is at equal distance from previous prime (59219) and next prime (59221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 59193 and 59202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59220.

It is not an unprimeable number, because it can be changed into a prime (59221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2⁵⁹²²⁰ 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 59220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

59220 is an abundant number, since it is smaller than the sum of its proper divisors (150444).

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

59220 is a wasteful number, since it uses less digits than its factorization.

59220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 59220 is about 243.3515974881. The cubic root of 59220 is about 38.9782916664.

The spelling of 59220 in words is "fifty-nine thousand, two hundred twenty".