512964 has 18 divisors (see below), whose sum is σ = 1296750. Its totient is φ = 170976.

The previous prime is 512959. The next prime is 512977. The reversal of 512964 is 469215.

It can be written as a sum of positive squares in only one way, i.e., 476100 + 36864 = 690^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a zygodrome in base 3.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7089 + ... + 7160.

2⁵¹²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

512964 is an abundant number, since it is smaller than the sum of its proper divisors (783786).

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

512964 is a wasteful number, since it uses less digits than its factorization.

512964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14254 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 512964 is about 716.2150515034. The cubic root of 512964 is about 80.0501768553.

The spelling of 512964 in words is "five hundred twelve thousand, nine hundred sixty-four".