518668920 has 576 divisors, whose sum is σ = 2237911200. Its totient is φ = 107775360.

The previous prime is 518668907. The next prime is 518668993. The reversal of 518668920 is 29866815.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47151715 + ... + 47151725.

Almost surely, 2^518668920 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 518668920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118955600).

518668920 is an abundant number, since it is smaller than the sum of its proper divisors (1719242280).

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

518668920 is a wasteful number, since it uses less digits than its factorization.

518668920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 518668920 is about 22774.3039410648. The cubic root of 518668920 is about 803.4584234233.

The spelling of 518668920 in words is "five hundred eighteen million, six hundred sixty-eight thousand, nine hundred twenty".