516680000 has 70 divisors (see below), whose sum is σ = 1281297666. Its totient is φ = 206656000.

The previous prime is 516679967. The next prime is 516680083. The reversal of 516680000 is 86615.

It can be written as a sum of positive squares in 5 ways, for example, as 190660864 + 326019136 = 13808^2 + 18056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33542 + ... + 46458.

Almost surely, 2^516680000 is an apocalyptic number.

516680000 is a gapful number since it is divisible by the number (50) 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 516680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640648833).

516680000 is an abundant number, since it is smaller than the sum of its proper divisors (764617666).

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

516680000 is an equidigital number, since it uses as much as digits as its factorization.

516680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949 (or 12924 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 516680000 is about 22730.5961206476. The cubic root of 516680000 is about 802.4301107279.

The spelling of 516680000 in words is "five hundred sixteen million, six hundred eighty thousand".