516687696 has 120 divisors (see below), whose sum is σ = 1659715200. Its totient is φ = 146988288.

The previous prime is 516687679. The next prime is 516687697. The reversal of 516687696 is 696786615.

516687696 is a `hidden beast` number, since 516 + 68 + 7 + 69 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516687697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264130 + ... + 266078.

It is an arithmetic number, because the mean of its divisors is an integer number (13830960).

Almost surely, 2^516687696 is an apocalyptic number.

516687696 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 516687696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829857600).

516687696 is an abundant number, since it is smaller than the sum of its proper divisors (1143027504).

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

516687696 is a wasteful number, since it uses less digits than its factorization.

516687696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2224 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 516687696 is about 22730.7654072625. The cubic root of 516687696 is about 802.4340948002.

The spelling of 516687696 in words is "five hundred sixteen million, six hundred eighty-seven thousand, six hundred ninety-six".