12816256 has 32 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 6365184.

The previous prime is 12816247. The next prime is 12816257. The reversal of 12816256 is 65261821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28320 + ... + 28768.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^12816256 is an apocalyptic number.

12816256 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 12816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

12816256 is an abundant number, since it is smaller than the sum of its proper divisors (12887744).

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

12816256 is an equidigital number, since it uses as much as digits as its factorization.

12816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 12816256 is about 3579.9798882117. The cubic root of 12816256 is about 234.0204038993.

It can be divided in two parts, 128 and 16256, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 12816256 in words is "twelve million, eight hundred sixteen thousand, two hundred fifty-six".