12957264 has 120 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3953664.

The previous prime is 12957253. The next prime is 12957293. The reversal of 12957264 is 46275921.

12957264 is a `hidden beast` number, since 1 + 29 + 572 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163977 + ... + 164055.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 2^12957264 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 12957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

12957264 is an abundant number, since it is smaller than the sum of its proper divisors (26504496).

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

12957264 is a wasteful number, since it uses less digits than its factorization.

12957264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12957264 is about 3599.6199799423. The cubic root of 12957264 is about 234.8755278657.

The spelling of 12957264 in words is "twelve million, nine hundred fifty-seven thousand, two hundred sixty-four".