12688256 has 96 divisors (see below), whose sum is σ = 31314000. Its totient is φ = 5117952.

The previous prime is 12688243. The next prime is 12688297. The reversal of 12688256 is 65288621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746360 + ... + 746376.

Almost surely, 2^12688256 is an apocalyptic number.

12688256 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 12688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657000).

12688256 is an abundant number, since it is smaller than the sum of its proper divisors (18625744).

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

12688256 is an frugal number, since it uses more digits than its factorization.

12688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 26 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 12688256 is about 3562.0578322088. The cubic root of 12688256 is about 233.2387171941.

The spelling of 12688256 in words is "twelve million, six hundred eighty-eight thousand, two hundred fifty-six".