58615920 has 160 divisors (see below), whose sum is σ = 220343040. Its totient is φ = 14204160.

The previous prime is 58615919. The next prime is 58615939. The reversal of 58615920 is 2951685.

It is a happy number.

58615920 is a `hidden beast` number, since 5 + 8 + 61 + 592 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 22527 + ... + 24993.

It is an arithmetic number, because the mean of its divisors is an integer number (1377144).

Almost surely, 2^58615920 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 58615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110171520).

58615920 is an abundant number, since it is smaller than the sum of its proper divisors (161727120).

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

58615920 is a wasteful number, since it uses less digits than its factorization.

58615920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 58615920 is about 7656.1034475770. The cubic root of 58615920 is about 388.4530436234.

It can be divided in two parts, 5861 and 5920, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 58615920 in words is "fifty-eight million, six hundred fifteen thousand, nine hundred twenty".