518160 has 80 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 129024.

The previous prime is 518159. The next prime is 518171. The reversal of 518160 is 61815.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 4143.

2⁵¹⁸¹⁶⁰ 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 518160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

518160 is an abundant number, since it is smaller than the sum of its proper divisors (1196016).

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

518160 is a wasteful number, since it uses less digits than its factorization.

518160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 518160 is about 719.8333140387. The cubic root of 518160 is about 80.3195551898.

Adding to 518160 its product of nonzero digits (240), we get a square (518400 = 720²).

Adding to 518160 its reverse (61815), we get a palindrome (579975).

The spelling of 518160 in words is "five hundred eighteen thousand, one hundred sixty".