58080 has 72 divisors (see below), whose sum is σ = 201096. Its totient is φ = 14080.

The previous prime is 58073. The next prime is 58099. The reversal of 58080 is 8085.

It is a Cunningham number, because it is equal to 241²-1.

It is a congruent number.

It is an unprimeable number.

58080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5275 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2⁵⁸⁰⁸⁰ 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 58080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

58080 is an abundant number, since it is smaller than the sum of its proper divisors (143016).

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

58080 is a wasteful number, since it uses less digits than its factorization.

58080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 58080 is about 240.9979253023. The cubic root of 58080 is about 38.7265553639.

The spelling of 58080 in words is "fifty-eight thousand, eighty".