58680 has 48 divisors (see below), whose sum is σ = 191880. Its totient is φ = 15552.

The previous prime is 58679. The next prime is 58687. The reversal of 58680 is 8685.

58680 is a `hidden beast` number, since 586 + 80 = 666.

58680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 441.

2⁵⁸⁶⁸⁰ 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 58680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95940).

58680 is an abundant number, since it is smaller than the sum of its proper divisors (133200).

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

58680 is a wasteful number, since it uses less digits than its factorization.

58680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58680 is about 242.2395508582. The cubic root of 58680 is about 38.8594546738.

Subtracting from 58680 its sum of digits (27), we obtain a triangular number (58653 = T₃₄₂).

It can be divided in two parts, 586 and 80, that added together give a palindrome (666).

The spelling of 58680 in words is "fifty-eight thousand, six hundred eighty".