515916 has 48 divisors (see below), whose sum is σ = 1421280. Its totient is φ = 161280.

The previous prime is 515887. The next prime is 515917. The reversal of 515916 is 619515.

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

It is a self number, because there is not a number n which added to its sum of digits gives 515916.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 515916.

It is not an unprimeable number, because it can be changed into a prime (515917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 1976.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2⁵¹⁵⁹¹⁶ 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 515916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710640).

515916 is an abundant number, since it is smaller than the sum of its proper divisors (905364).

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

515916 is a wasteful number, since it uses less digits than its factorization.

515916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 515916 is about 718.2729286281. The cubic root of 515916 is about 80.2034405441.

It can be divided in two parts, 515 and 916, that added together give a triangular number (1431 = T₅₃).

The spelling of 515916 in words is "five hundred fifteen thousand, nine hundred sixteen".