58368 has 44 divisors (see below), whose sum is σ = 163760. Its totient is φ = 18432.

The previous prime is 58367. The next prime is 58369. The reversal of 58368 is 86385.

It is an interprime number because it is at equal distance from previous prime (58367) and next prime (58369).

It is an Ulam number.

Its product of digits (5760) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (58363) 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, 3063 + ... + 3081.

2⁵⁸³⁶⁸ 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 58368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81880).

58368 is an abundant number, since it is smaller than the sum of its proper divisors (105392).

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

58368 is a wasteful number, since it uses less digits than its factorization.

58368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 24 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 58368 is about 241.5947019287. The cubic root of 58368 is about 38.7904606867.

The spelling of 58368 in words is "fifty-eight thousand, three hundred sixty-eight".