532864 has 32 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 253440.

The previous prime is 532853. The next prime is 532867. The reversal of 532864 is 468235.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 5 + 3³ + 8³ + 2¹⁹ + 6⁵ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2854 + ... + 3034.

2⁵³²⁸⁶⁴ 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 532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

532864 is an abundant number, since it is smaller than the sum of its proper divisors (580976).

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

532864 is a wasteful number, since it uses less digits than its factorization.

532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 532864 is about 729.9753420493. The cubic root of 532864 is about 81.0722314586.

The spelling of 532864 in words is "five hundred thirty-two thousand, eight hundred sixty-four".