518678160 has 640 divisors, whose sum is σ = 2303852544. Its totient is φ = 92897280.

The previous prime is 518678141. The next prime is 518678189. The reversal of 518678160 is 61876815.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4084017 + ... + 4084143.

Almost surely, 2^518678160 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 518678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151926272).

518678160 is an abundant number, since it is smaller than the sum of its proper divisors (1785174384).

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

518678160 is a wasteful number, since it uses less digits than its factorization.

518678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 518678160 is about 22774.5068003678. The cubic root of 518678160 is about 803.4631945541.

The spelling of 518678160 in words is "five hundred eighteen million, six hundred seventy-eight thousand, one hundred sixty".