512864 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 220800.

The previous prime is 512849. The next prime is 512891. The reversal of 512864 is 468215.

512864 is a modest number, since divided by 864 gives 512 as remainder.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512864.

It is an unprimeable number.

512864 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 7 ways as a sum of consecutive naturals, for example, 10889 + ... + 10935.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁵¹²⁸⁶⁴ 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 512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

512864 is an abundant number, since it is smaller than the sum of its proper divisors (648352).

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

512864 is a wasteful number, since it uses less digits than its factorization.

512864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 512864 is about 716.1452366664. The cubic root of 512864 is about 80.0449747112.

The spelling of 512864 in words is "five hundred twelve thousand, eight hundred sixty-four".