264032 has 24 divisors (see below), whose sum is σ = 536256. Its totient is φ = 127872.

The previous prime is 264031. The next prime is 264053. The reversal of 264032 is 230462.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 264032.

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 264032.

It is not an unprimeable number, because it can be changed into a prime (264031) 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, 1073 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2²⁶⁴⁰³² 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 264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

264032 is an abundant number, since it is smaller than the sum of its proper divisors (272224).

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

264032 is a wasteful number, since it uses less digits than its factorization.

264032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 264032 is about 513.8404421608. The cubic root of 264032 is about 64.1532784421.

Adding to 264032 its reverse (230462), we get a palindrome (494494).

The spelling of 264032 in words is "two hundred sixty-four thousand, thirty-two".