515760 has 80 divisors (see below), whose sum is σ = 1833216. Its totient is φ = 117504.

The previous prime is 515741. The next prime is 515761. The reversal of 515760 is 67515.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 515760.

It is not an unprimeable number, because it can be changed into a prime (515761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527 + ... + 1833.

2⁵¹⁵⁷⁶⁰ 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 515760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608).

515760 is an abundant number, since it is smaller than the sum of its proper divisors (1317456).

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

515760 is a wasteful number, since it uses less digits than its factorization.

515760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 515760 is about 718.1643265994. The cubic root of 515760 is about 80.1953558959.

It can be divided in two parts, 515 and 760, that added together give a triangular number (1275 = T₅₀).

The spelling of 515760 in words is "five hundred fifteen thousand, seven hundred sixty".