515968 has 32 divisors (see below), whose sum is σ = 1071000. Its totient is φ = 247296.

The previous prime is 515951. The next prime is 515969. The reversal of 515968 is 869515.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3643 + ... + 3781.

2⁵¹⁵⁹⁶⁸ is an apocalyptic number.

515968 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 515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535500).

515968 is an abundant number, since it is smaller than the sum of its proper divisors (555032).

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

515968 is a wasteful number, since it uses less digits than its factorization.

515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 10800, while the sum is 34.

The square root of 515968 is about 718.3091256555. The cubic root of 515968 is about 80.2061350647.

The spelling of 515968 in words is "five hundred fifteen thousand, nine hundred sixty-eight".