516864720 has 80 divisors (see below), whose sum is σ = 1605290112. Its totient is φ = 137571840.

The previous prime is 516864703. The next prime is 516864757. The reversal of 516864720 is 27468615.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 149734 + ... + 153146.

Almost surely, 2^516864720 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 516864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802645056).

516864720 is an abundant number, since it is smaller than the sum of its proper divisors (1088425392).

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

516864720 is a wasteful number, since it uses less digits than its factorization.

516864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 516864720 is about 22734.6590033807. The cubic root of 516864720 is about 802.5257258278.

The spelling of 516864720 in words is "five hundred sixteen million, eight hundred sixty-four thousand, seven hundred twenty".