58820 has 24 divisors (see below), whose sum is σ = 131544. Its totient is φ = 22016.

The previous prime is 58789. The next prime is 58831. The reversal of 58820 is 2885.

58820 = T₄₁ + T₄₂ + ... + T₇₄.

58820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24964 + 33856 = 158^2 + 184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (5481).

2⁵⁸⁸²⁰ 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 58820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772).

58820 is an abundant number, since it is smaller than the sum of its proper divisors (72724).

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

58820 is a wasteful number, since it uses less digits than its factorization.

58820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 58820 is about 242.5283488584. The cubic root of 58820 is about 38.8903340355.

It can be divided in two parts, 58 and 820, that added together give a palindrome (878).

The spelling of 58820 in words is "fifty-eight thousand, eight hundred twenty".