516318768 has 120 divisors (see below), whose sum is σ = 1738380800. Its totient is φ = 139750272.

The previous prime is 516318731. The next prime is 516318821. The reversal of 516318768 is 867813615.

516318768 is a `hidden beast` number, since 5 + 1 + 631 + 8 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5673 + ... + 32631.

Almost surely, 2^516318768 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 516318768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869190400).

516318768 is an abundant number, since it is smaller than the sum of its proper divisors (1222062032).

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

516318768 is a wasteful number, since it uses less digits than its factorization.

516318768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26999 (or 26990 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 516318768 is about 22722.6487892587. The cubic root of 516318768 is about 802.2430632893.

The spelling of 516318768 in words is "five hundred sixteen million, three hundred eighteen thousand, seven hundred sixty-eight".