58160 has 20 divisors (see below), whose sum is σ = 135408. Its totient is φ = 23232.

The previous prime is 58153. The next prime is 58169. The reversal of 58160 is 6185.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58160.

It is not an unprimeable number, because it can be changed into a prime (58169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 443.

2⁵⁸¹⁶⁰ is an apocalyptic number.

It is an amenable number.

58160 is an abundant number, since it is smaller than the sum of its proper divisors (77248).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704).

58160 is a wasteful number, since it uses less digits than its factorization.

58160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 58160 is about 241.1638447197. The cubic root of 58160 is about 38.7443279939.

The spelling of 58160 in words is "fifty-eight thousand, one hundred sixty".