264144 has 20 divisors (see below), whose sum is σ = 682496. Its totient is φ = 88032.

The previous prime is 264139. The next prime is 264167. The reversal of 264144 is 441462.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 264144.

It is a congruent number.

It is an unprimeable number.

264144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2704 + ... + 2799.

2²⁶⁴¹⁴⁴ is an apocalyptic number.

264144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264144 is an abundant number, since it is smaller than the sum of its proper divisors (418352).

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

264144 is a wasteful number, since it uses less digits than its factorization.

264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5508 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 264144 is about 513.9494138532. The cubic root of 264144 is about 64.1623482411.

It can be divided in two parts, 2 and 64144, that added together give a palindrome (64146).

The spelling of 264144 in words is "two hundred sixty-four thousand, one hundred forty-four".