516185964 has 288 divisors, whose sum is σ = 1673118720. Its totient is φ = 130927104.

The previous prime is 516185963. The next prime is 516186017. The reversal of 516185964 is 469581615.

516185964 is a `hidden beast` number, since 51 + 6 + 1 + 8 + 596 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (516185963) 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 95 ways as a sum of consecutive naturals, for example, 6219067 + ... + 6219149.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^516185964 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 516185964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

516185964 is an abundant number, since it is smaller than the sum of its proper divisors (1156932756).

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

516185964 is a wasteful number, since it uses less digits than its factorization.

516185964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 516185964 is about 22719.7263187742. The cubic root of 516185964 is about 802.1742748907.

It can be divided in two parts, 5161 and 85964, that added together give a cube (91125 = 45³).

The spelling of 516185964 in words is "five hundred sixteen million, one hundred eighty-five thousand, nine hundred sixty-four".