516917808 has 320 divisors, whose sum is σ = 1742745600. Its totient is φ = 146361600.

The previous prime is 516917789. The next prime is 516917809. The reversal of 516917808 is 808719615.

It is not an unprimeable number, because it can be changed into a prime (516917809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16674753 + ... + 16674783.

It is an arithmetic number, because the mean of its divisors is an integer number (5446080).

Almost surely, 2^516917808 is an apocalyptic number.

516917808 is a gapful number since it is divisible by the number (58) 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 516917808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871372800).

516917808 is an abundant number, since it is smaller than the sum of its proper divisors (1225827792).

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

516917808 is a wasteful number, since it uses less digits than its factorization.

516917808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 516917808 is about 22735.8265299505. The cubic root of 516917808 is about 802.5532011197.

The spelling of 516917808 in words is "five hundred sixteen million, nine hundred seventeen thousand, eight hundred eight".