516608 has 20 divisors (see below), whose sum is σ = 1033230. Its totient is φ = 258048.

The previous prime is 516599. The next prime is 516611. The reversal of 516608 is 806615.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 43264 = 688^2 + 208^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516608.

It is an unprimeable number.

516608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8 + ... + 1016.

2⁵¹⁶⁶⁰⁸ 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 516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516615).

516608 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

516608 is an equidigital number, since it uses as much as digits as its factorization.

516608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 516608 is about 718.7544782469. The cubic root of 516608 is about 80.2392835785.

The spelling of 516608 in words is "five hundred sixteen thousand, six hundred eight".