516300664 has 64 divisors (see below), whose sum is σ = 1090596960. Its totient is φ = 227082240.

The previous prime is 516300649. The next prime is 516300667. The reversal of 516300664 is 466003615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516300667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836484 + ... + 837100.

Almost surely, 2^516300664 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 516300664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545298480).

516300664 is an abundant number, since it is smaller than the sum of its proper divisors (574296296).

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

516300664 is a wasteful number, since it uses less digits than its factorization.

516300664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 516300664 is about 22722.2504167171. The cubic root of 516300664 is about 802.2336866670.

The spelling of 516300664 in words is "five hundred sixteen million, three hundred thousand, six hundred sixty-four".