513960 has 32 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 137024.

The previous prime is 513943. The next prime is 513977. The reversal of 513960 is 69315.

It is an interprime number because it is at equal distance from previous prime (513943) and next prime (513977).

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 513960.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

2⁵¹³⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

513960 is an abundant number, since it is smaller than the sum of its proper divisors (1028280).

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

513960 is a wasteful number, since it uses less digits than its factorization.

513960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 513960 is about 716.9100361970. The cubic root of 513960 is about 80.1019533471.

The spelling of 513960 in words is "five hundred thirteen thousand, nine hundred sixty".