264632144 has 30 divisors (see below), whose sum is σ = 596436714. Its totient is φ = 113413440.

The previous prime is 264632141. The next prime is 264632167. The reversal of 264632144 is 441236462.

264632144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 240622144 + 24010000 = 15512^2 + 4900^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 264632144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264632141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167987 + ... + 169554.

Almost surely, 2^264632144 is an apocalyptic number.

It is an amenable number.

264632144 is an abundant number, since it is smaller than the sum of its proper divisors (331804570).

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

264632144 is a wasteful number, since it uses less digits than its factorization.

264632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337563 (or 337550 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 264632144 is about 16267.5180651506. The cubic root of 264632144 is about 642.0184840193.

The spelling of 264632144 in words is "two hundred sixty-four million, six hundred thirty-two thousand, one hundred forty-four".