518967216 has 160 divisors (see below), whose sum is σ = 1636800000. Its totient is φ = 156701952.

The previous prime is 518967181. The next prime is 518967233. The reversal of 518967216 is 612769815.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187410 + ... + 190158.

It is an arithmetic number, because the mean of its divisors is an integer number (10230000).

Almost surely, 2^518967216 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 518967216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818400000).

518967216 is an abundant number, since it is smaller than the sum of its proper divisors (1117832784).

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

518967216 is a wasteful number, since it uses less digits than its factorization.

518967216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2796 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 518967216 is about 22780.8519594856. The cubic root of 518967216 is about 803.6124217919.

The spelling of 518967216 in words is "five hundred eighteen million, nine hundred sixty-seven thousand, two hundred sixteen".