58381920 has 72 divisors (see below), whose sum is σ = 199233216. Its totient is φ = 15568128.

The previous prime is 58381913. The next prime is 58381931. The reversal of 58381920 is 2918385.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18832 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (2767128).

Almost surely, 2^58381920 is an apocalyptic number.

It is an amenable number.

58381920 is an abundant number, since it is smaller than the sum of its proper divisors (140851296).

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

58381920 is a wasteful number, since it uses less digits than its factorization.

58381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40564 (or 40553 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58381920 is about 7640.8062401817. The cubic root of 58381920 is about 387.9354411310.

The spelling of 58381920 in words is "fifty-eight million, three hundred eighty-one thousand, nine hundred twenty".