58415520 has 96 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 15441920.

The previous prime is 58415509. The next prime is 58415521. The reversal of 58415520 is 2551485.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (58415521) 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, 62416 + ... + 63344.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^58415520 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 58415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

58415520 is an abundant number, since it is smaller than the sum of its proper divisors (127197600).

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

58415520 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (58415519) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1070).

58415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 58415520 is about 7643.0046447716. The cubic root of 58415520 is about 388.0098484764.

The spelling of 58415520 in words is "fifty-eight million, four hundred fifteen thousand, five hundred twenty".