58552080 has 160 divisors (see below), whose sum is σ = 195416064. Its totient is φ = 14450688.

The previous prime is 58552069. The next prime is 58552099. The reversal of 58552080 is 8025585.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 460977 + ... + 461103.

Almost surely, 2^58552080 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 58552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97708032).

58552080 is an abundant number, since it is smaller than the sum of its proper divisors (136863984).

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

58552080 is a wasteful number, since it uses less digits than its factorization.

58552080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 58552080 is about 7651.9330890959. The cubic root of 58552080 is about 388.3119678954.

The spelling of 58552080 in words is "fifty-eight million, five hundred fifty-two thousand, eighty".