58513920 has 160 divisors (see below), whose sum is σ = 197398080. Its totient is φ = 14745600.

The previous prime is 58513891. The next prime is 58513937. The reversal of 58513920 is 2931585.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145720 + ... + 146120.

It is an arithmetic number, because the mean of its divisors is an integer number (1233738).

Almost surely, 2^58513920 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 58513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98699040).

58513920 is an abundant number, since it is smaller than the sum of its proper divisors (138884160).

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

58513920 is a wasteful number, since it uses less digits than its factorization.

58513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 58513920 is about 7649.4391951306. The cubic root of 58513920 is about 388.2275917016.

The spelling of 58513920 in words is "fifty-eight million, five hundred thirteen thousand, nine hundred twenty".