518680320 has 144 divisors (see below), whose sum is σ = 1665794592. Its totient is φ = 137543680.

The previous prime is 518680301. The next prime is 518680321. The reversal of 518680320 is 23086815.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518680321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124890 + ... + 1125350.

It is an arithmetic number, because the mean of its divisors is an integer number (11568018).

Almost surely, 2^518680320 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 518680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832897296).

518680320 is an abundant number, since it is smaller than the sum of its proper divisors (1147114272).

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

518680320 is a wasteful number, since it uses less digits than its factorization.

518680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 518680320 is about 22774.5542217625. The cubic root of 518680320 is about 803.4643098752.

The spelling of 518680320 in words is "five hundred eighteen million, six hundred eighty thousand, three hundred twenty".