516162416 has 80 divisors (see below), whose sum is σ = 1289917440. Its totient is φ = 194154240.

The previous prime is 516162391. The next prime is 516162443. The reversal of 516162416 is 614261615.

It is a congruent number.

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, 28505 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (16123968).

Almost surely, 2^516162416 is an apocalyptic number.

516162416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644958720).

516162416 is an abundant number, since it is smaller than the sum of its proper divisors (773755024).

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

516162416 is a wasteful number, since it uses less digits than its factorization.

516162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14496 counting only the distinct ones).

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

The square root of 516162416 is about 22719.2080847903. The cubic root of 516162416 is about 802.1620765175.

The spelling of 516162416 in words is "five hundred sixteen million, one hundred sixty-two thousand, four hundred sixteen".