518166320 has 80 divisors (see below), whose sum is σ = 1400267520. Its totient is φ = 174634752.

The previous prime is 518166301. The next prime is 518166343. The reversal of 518166320 is 23661815.

It is a happy number.

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

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, 25199 + ... + 40881.

It is an arithmetic number, because the mean of its divisors is an integer number (17503344).

Almost surely, 2^518166320 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 518166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700133760).

518166320 is an abundant number, since it is smaller than the sum of its proper divisors (882101200).

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

518166320 is a wasteful number, since it uses less digits than its factorization.

518166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15762 (or 15756 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 518166320 is about 22763.2669008646. The cubic root of 518166320 is about 803.1988174112.

The spelling of 518166320 in words is "five hundred eighteen million, one hundred sixty-six thousand, three hundred twenty".