58260 has 24 divisors (see below), whose sum is σ = 163296. Its totient is φ = 15520.

The previous prime is 58243. The next prime is 58271. The reversal of 58260 is 6285.

It is a happy number.

58260 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 congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58260.

It is an unprimeable number.

58260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁵⁸²⁶⁰ is an apocalyptic number.

It is an amenable number.

58260 is an abundant number, since it is smaller than the sum of its proper divisors (105036).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

58260 is a wasteful number, since it uses less digits than its factorization.

58260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 58260 is about 241.3710836036. The cubic root of 58260 is about 38.7665208777.

The spelling of 58260 in words is "fifty-eight thousand, two hundred sixty".