12864256 has 36 divisors (see below), whose sum is σ = 26522944. Its totient is φ = 6220800.

The previous prime is 12864251. The next prime is 12864263. The reversal of 12864256 is 65246821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864251) by changing a digit.

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, 7126 + ... + 8746.

Almost surely, 2^12864256 is an apocalyptic number.

12864256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261472).

12864256 is an abundant number, since it is smaller than the sum of its proper divisors (13658688).

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

12864256 is an equidigital number, since it uses as much as digits as its factorization.

12864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1654 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 12864256 is about 3586.6775712350. The cubic root of 12864256 is about 234.3121943952.

The spelling of 12864256 in words is "twelve million, eight hundred sixty-four thousand, two hundred fifty-six".