58864 has 20 divisors (see below), whose sum is σ = 123256. Its totient is φ = 27072.

The previous prime is 58831. The next prime is 58889. The reversal of 58864 is 46885.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 349.

2⁵⁸⁸⁶⁴ 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 58864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61628).

58864 is an abundant number, since it is smaller than the sum of its proper divisors (64392).

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

58864 is a wasteful number, since it uses less digits than its factorization.

58864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 58864 is about 242.6190429459. The cubic root of 58864 is about 38.9000288570.

The spelling of 58864 in words is "fifty-eight thousand, eight hundred sixty-four".