12884256 has 216 divisors, whose sum is σ = 47056464. Its totient is φ = 3306240.

The previous prime is 12884233. The next prime is 12884279. The reversal of 12884256 is 65248821.

12884256 = T₄₆₃ + T₄₆₄ + ... + T₅₆₀.

It is an interprime number because it is at equal distance from previous prime (12884233) and next prime (12884279).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12884256.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155191 + ... + 155273.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^12884256 is an apocalyptic number.

12884256 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 12884256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

12884256 is an abundant number, since it is smaller than the sum of its proper divisors (34172208).

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

12884256 is a wasteful number, since it uses less digits than its factorization.

12884256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12884256 is about 3589.4645840292. The cubic root of 12884256 is about 234.4335595541.

The spelling of 12884256 in words is "twelve million, eight hundred eighty-four thousand, two hundred fifty-six".