264621312 has 108 divisors (see below), whose sum is σ = 781004224. Its totient is φ = 86123520.

The previous prime is 264621311. The next prime is 264621367. The reversal of 264621312 is 213126462.

264621312 is a `hidden beast` number, since 2 + 6 + 4 + 621 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264621311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97737 + ... + 100407.

Almost surely, 2^264621312 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 264621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390502112).

264621312 is an abundant number, since it is smaller than the sum of its proper divisors (516382912).

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

264621312 is a wasteful number, since it uses less digits than its factorization.

264621312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2719 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 264621312 is about 16267.1851283496. The cubic root of 264621312 is about 642.0097241372.

Adding to 264621312 its reverse (213126462), we get a palindrome (477747774).

The spelling of 264621312 in words is "two hundred sixty-four million, six hundred twenty-one thousand, three hundred twelve".