516087936 has 320 divisors, whose sum is σ = 1893756480. Its totient is φ = 135862272.

The previous prime is 516087919. The next prime is 516087947. The reversal of 516087936 is 639780615.

It is a happy number.

516087936 is a `hidden beast` number, since 5 + 1 + 608 + 7 + 9 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 516087891 and 516087900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943215 + ... + 943761.

It is an arithmetic number, because the mean of its divisors is an integer number (5917989).

Almost surely, 2^516087936 is an apocalyptic number.

516087936 is a gapful number since it is divisible by the number (56) 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 516087936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946878240).

516087936 is an abundant number, since it is smaller than the sum of its proper divisors (1377668544).

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

516087936 is a wasteful number, since it uses less digits than its factorization.

516087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 516087936 is about 22717.5688840157. The cubic root of 516087936 is about 802.1234918243.

It can be divided in two parts, 5160 and 87936, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 516087936 in words is "five hundred sixteen million, eighty-seven thousand, nine hundred thirty-six".