58220 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 22400.

The previous prime is 58217. The next prime is 58229. The reversal of 58220 is 2285.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (58229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵⁸²²⁰ 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 58220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

58220 is an abundant number, since it is smaller than the sum of its proper divisors (68788).

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

58220 is a wasteful number, since it uses less digits than its factorization.

58220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 58220 is about 241.2882094094. The cubic root of 58220 is about 38.7576467740.

The spelling of 58220 in words is "fifty-eight thousand, two hundred twenty".