515856 has 40 divisors (see below), whose sum is σ = 1455264. Its totient is φ = 156160.

The previous prime is 515843. The next prime is 515857. The reversal of 515856 is 658515.

It is a happy number.

It is a super-2 number, since 2×515856² = 532214825472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (515857) by changing a digit.

515856 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 1016.

2⁵¹⁵⁸⁵⁶ 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 515856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727632).

515856 is an abundant number, since it is smaller than the sum of its proper divisors (939408).

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

515856 is a wasteful number, since it uses less digits than its factorization.

515856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 515856 is about 718.2311605604. The cubic root of 515856 is about 80.2003312569.

The spelling of 515856 in words is "five hundred fifteen thousand, eight hundred fifty-six".