516924960 has 96 divisors (see below), whose sum is σ = 1656002880. Its totient is φ = 135502848.

The previous prime is 516924949. The next prime is 516925027. The reversal of 516924960 is 69429615.

It is a happy number.

516924960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×516924960² = 534422828542003200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19194 + ... + 37446.

It is an arithmetic number, because the mean of its divisors is an integer number (17250030).

Almost surely, 2^516924960 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 516924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828001440).

516924960 is an abundant number, since it is smaller than the sum of its proper divisors (1139077920).

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

516924960 is a wasteful number, since it uses less digits than its factorization.

516924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330 (or 18322 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 516924960 is about 22735.9838142096. The cubic root of 516924960 is about 802.5569024393.

The spelling of 516924960 in words is "five hundred sixteen million, nine hundred twenty-four thousand, nine hundred sixty".