515808 has 60 divisors (see below), whose sum is σ = 1524600. Its totient is φ = 171072.

The previous prime is 515803. The next prime is 515813. The reversal of 515808 is 808515.

It is an interprime number because it is at equal distance from previous prime (515803) and next prime (515813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 515808.

It is not an unprimeable number, because it can be changed into a prime (515803) by changing a digit.

515808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2493 + ... + 2691.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

2⁵¹⁵⁸⁰⁸ 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 515808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762300).

515808 is an abundant number, since it is smaller than the sum of its proper divisors (1008792).

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

515808 is a wasteful number, since it uses less digits than its factorization.

515808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 515808 is about 718.1977443574. The cubic root of 515808 is about 80.1978436536.

The spelling of 515808 in words is "five hundred fifteen thousand, eight hundred eight".