58873920 has 112 divisors (see below), whose sum is σ = 213652608. Its totient is φ = 13455360.

The previous prime is 58873883. The next prime is 58873921. The reversal of 58873920 is 2937885.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×58873920² = 6932276912332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (58873921) 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, 2340 + ... + 11100.

Almost surely, 2^58873920 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 58873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106826304).

58873920 is an abundant number, since it is smaller than the sum of its proper divisors (154778688).

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

58873920 is a wasteful number, since it uses less digits than its factorization.

58873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 58873920 is about 7672.9342496857. The cubic root of 58873920 is about 389.0221393109.

The spelling of 58873920 in words is "fifty-eight million, eight hundred seventy-three thousand, nine hundred twenty".