58390080 has 112 divisors (see below), whose sum is σ = 211896960. Its totient is φ = 13344768.

The previous prime is 58390069. The next prime is 58390093. The reversal of 58390080 is 8009385.

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

It is a congruent number.

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, 2376 + ... + 11064.

Almost surely, 2^58390080 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 58390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105948480).

58390080 is an abundant number, since it is smaller than the sum of its proper divisors (153506880).

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

58390080 is a wasteful number, since it uses less digits than its factorization.

58390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 58390080 is about 7641.3401965886. The cubic root of 58390080 is about 387.9535141105.

The spelling of 58390080 in words is "fifty-eight million, three hundred ninety thousand, eighty".