512960 has 56 divisors (see below), whose sum is σ = 1402080. Its totient is φ = 175104.

The previous prime is 512959. The next prime is 512977. The reversal of 512960 is 69215.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 2126 + ... + 2354.

2⁵¹²⁹⁶⁰ 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 512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701040).

512960 is an abundant number, since it is smaller than the sum of its proper divisors (889120).

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

512960 is a wasteful number, since it uses less digits than its factorization.

512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 512960 is about 716.2122590406. The cubic root of 512960 is about 80.0499687825.

The spelling of 512960 in words is "five hundred twelve thousand, nine hundred sixty".