515880 has 48 divisors (see below), whose sum is σ = 1677780. Its totient is φ = 137472.

The previous prime is 515873. The next prime is 515887. The reversal of 515880 is 88515.

It is an interprime number because it is at equal distance from previous prime (515873) and next prime (515887).

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 6084 = 714^2 + 78^2 .

It is a super-2 number, since 2×515880² = 532264348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (515887) by changing a digit.

515880 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 11 ways as a sum of consecutive naturals, for example, 357 + ... + 1076.

2⁵¹⁵⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

515880 is an abundant number, since it is smaller than the sum of its proper divisors (1161900).

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

515880 is a wasteful number, since it uses less digits than its factorization.

515880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1443 counting only the distinct ones).

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

The square root of 515880 is about 718.2478680790. The cubic root of 515880 is about 80.2015750007.

The spelling of 515880 in words is "five hundred fifteen thousand, eight hundred eighty".