516305664 has 180 divisors, whose sum is σ = 1759957584. Its totient is φ = 147474432.

The previous prime is 516305663. The next prime is 516305689. The reversal of 516305664 is 466503615.

516305664 is a `hidden beast` number, since 516 + 30 + 56 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516305663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143374 + ... + 146930.

Almost surely, 2^516305664 is an apocalyptic number.

516305664 is a gapful number since it is divisible by the number (54) 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 516305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879978792).

516305664 is an abundant number, since it is smaller than the sum of its proper divisors (1243651920).

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

516305664 is an equidigital number, since it uses as much as digits as its factorization.

516305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 516305664 is about 22722.3604407641. The cubic root of 516305664 is about 802.2362763438.

The spelling of 516305664 in words is "five hundred sixteen million, three hundred five thousand, six hundred sixty-four".