58990080 has 80 divisors (see below), whose sum is σ = 188608464. Its totient is φ = 15728640.

The previous prime is 58990033. The next prime is 58990091. The reversal of 58990080 is 8009985.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840 + ... + 11520.

Almost surely, 2^58990080 is an apocalyptic number.

It is a pronic number, being equal to 7680×7681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94304232).

58990080 is an abundant number, since it is smaller than the sum of its proper divisors (129618384).

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

58990080 is an equidigital number, since it uses as much as digits as its factorization.

58990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7707 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 58990080 is about 7680.4999837250. The cubic root of 58990080 is about 389.2778219890.

The spelling of 58990080 in words is "fifty-eight million, nine hundred ninety thousand, eighty".