516162816 has 216 divisors, whose sum is σ = 1688916320. Its totient is φ = 150294528.

The previous prime is 516162791. The next prime is 516162827. The reversal of 516162816 is 618261615.

516162816 is a `hidden beast` number, since 5 + 1 + 616 + 28 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 568635 + ... + 569541.

Almost surely, 2^516162816 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 516162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844458160).

516162816 is an abundant number, since it is smaller than the sum of its proper divisors (1172753504).

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

516162816 is a wasteful number, since it uses less digits than its factorization.

516162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 516162816 is about 22719.2168879123. The cubic root of 516162816 is about 802.1622837292.

The spelling of 516162816 in words is "five hundred sixteen million, one hundred sixty-two thousand, eight hundred sixteen".