58608 has 60 divisors (see below), whose sum is σ = 183768. Its totient is φ = 17280.

The previous prime is 58603. The next prime is 58613. The reversal of 58608 is 80685.

58608 is a `hidden beast` number, since 58 + 608 = 666.

58608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58603) and next prime (58613).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58601) 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, 1566 + ... + 1602.

2⁵⁸⁶⁰⁸ 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 58608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91884).

58608 is an abundant number, since it is smaller than the sum of its proper divisors (125160).

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

58608 is a wasteful number, since it uses less digits than its factorization.

58608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

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

The square root of 58608 is about 242.0908920220. The cubic root of 58608 is about 38.8435547315.

It can be divided in two parts, 58 and 608, that added together give a palindrome (666).

The spelling of 58608 in words is "fifty-eight thousand, six hundred eight".