58880 has 40 divisors (see below), whose sum is σ = 147312. Its totient is φ = 22528.

The previous prime is 58831. The next prime is 58889. The reversal of 58880 is 8885.

58880 = T₈₁ + T₈₂ + ... + T₉₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58880.

It is not an unprimeable number, because it can be changed into a prime (58889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2549 + ... + 2571.

2⁵⁸⁸⁸⁰ 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 58880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656).

58880 is an abundant number, since it is smaller than the sum of its proper divisors (88432).

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

58880 is an equidigital number, since it uses as much as digits as its factorization.

58880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 58880 is about 242.6520142096. The cubic root of 58880 is about 38.9035530488.

It can be divided in two parts, 58 and 880, that multiplied together give a triangular number (51040 = T₃₁₉).

The spelling of 58880 in words is "fifty-eight thousand, eight hundred eighty".