58068 has 18 divisors (see below), whose sum is σ = 146874. Its totient is φ = 19344.

The previous prime is 58067. The next prime is 58073. The reversal of 58068 is 86085.

58068 is nontrivially palindromic in base 5.

58068 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 can be written as a sum of positive squares in only one way, i.e., 51984 + 6084 = 228^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 771 + ... + 842.

2⁵⁸⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

58068 is an abundant number, since it is smaller than the sum of its proper divisors (88806).

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

58068 is a wasteful number, since it uses less digits than its factorization.

58068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1618 counting only the distinct ones).

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

The square root of 58068 is about 240.9730275363. The cubic root of 58068 is about 38.7238880621.

The spelling of 58068 in words is "fifty-eight thousand, sixty-eight".