58538920 has 64 divisors (see below), whose sum is σ = 144555840. Its totient is φ = 21158400.

The previous prime is 58538911. The next prime is 58538927. The reversal of 58538920 is 2983585.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (58538927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102235 + ... + 102805.

It is an arithmetic number, because the mean of its divisors is an integer number (2258685).

Almost surely, 2^58538920 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 58538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72277920).

58538920 is an abundant number, since it is smaller than the sum of its proper divisors (86016920).

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

58538920 is a wasteful number, since it uses less digits than its factorization.

58538920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 58538920 is about 7651.0731273463. The cubic root of 58538920 is about 388.2828737488.

The spelling of 58538920 in words is "fifty-eight million, five hundred thirty-eight thousand, nine hundred twenty".