516580944 has 120 divisors (see below), whose sum is σ = 1517923680. Its totient is φ = 151092480.

The previous prime is 516580937. The next prime is 516580951. The reversal of 516580944 is 449085615.

It is an interprime number because it is at equal distance from previous prime (516580937) and next prime (516580951).

It is a super-2 number, since 2×516580944² = 533711743407862272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 516580896 and 516580905.

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, 166899 + ... + 169965.

It is an arithmetic number, because the mean of its divisors is an integer number (12649364).

Almost surely, 2^516580944 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 516580944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758961840).

516580944 is an abundant number, since it is smaller than the sum of its proper divisors (1001342736).

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

516580944 is a wasteful number, since it uses less digits than its factorization.

516580944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 516580944 is about 22728.4171028253. The cubic root of 516580944 is about 802.3788277951.

The spelling of 516580944 in words is "five hundred sixteen million, five hundred eighty thousand, nine hundred forty-four".