516435696 has 240 divisors, whose sum is σ = 1782266880. Its totient is φ = 142611840.

The previous prime is 516435691. The next prime is 516435701. The reversal of 516435696 is 696534615.

516435696 is a `hidden beast` number, since 516 + 43 + 5 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (516435691) and next prime (516435701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516435691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655815 + ... + 656601.

It is an arithmetic number, because the mean of its divisors is an integer number (7426112).

Almost surely, 2^516435696 is an apocalyptic number.

516435696 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 516435696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891133440).

516435696 is an abundant number, since it is smaller than the sum of its proper divisors (1265831184).

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

516435696 is a wasteful number, since it uses less digits than its factorization.

516435696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 830 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 516435696 is about 22725.2215830781. The cubic root of 516435696 is about 802.3036186428.

The spelling of 516435696 in words is "five hundred sixteen million, four hundred thirty-five thousand, six hundred ninety-six".