58688 has 28 divisors (see below), whose sum is σ = 134112. Its totient is φ = 24960.

The previous prime is 58687. The next prime is 58693. The reversal of 58688 is 88685.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 3.

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 58688.

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 3 ways as a sum of consecutive naturals, for example, 383 + ... + 513.

2⁵⁸⁶⁸⁸ 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 58688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67056).

58688 is an abundant number, since it is smaller than the sum of its proper divisors (75424).

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

58688 is a wasteful number, since it uses less digits than its factorization.

58688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 58688 is about 242.2560628756. The cubic root of 58688 is about 38.8612205310.

Subtracting from 58688 its sum of digits (35), we obtain a triangular number (58653 = T₃₄₂).

The spelling of 58688 in words is "fifty-eight thousand, six hundred eighty-eight".