516990720 has 288 divisors, whose sum is σ = 1761306624. Its totient is φ = 129024000.

The previous prime is 516990713. The next prime is 516990731. The reversal of 516990720 is 27099615.

It is a super-2 number, since 2×516990720² = 534558809132236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5118670 + ... + 5118770.

It is an arithmetic number, because the mean of its divisors is an integer number (6115648).

Almost surely, 2^516990720 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 516990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880653312).

516990720 is an abundant number, since it is smaller than the sum of its proper divisors (1244315904).

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

516990720 is a wasteful number, since it uses less digits than its factorization.

516990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 516990720 is about 22737.4299339217. The cubic root of 516990720 is about 802.5909331066.

The spelling of 516990720 in words is "five hundred sixteen million, nine hundred ninety thousand, seven hundred twenty".