12582656 has 36 divisors (see below), whose sum is σ = 26220432. Its totient is φ = 6014976.

The previous prime is 12582649. The next prime is 12582659. The reversal of 12582656 is 65628521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582659) 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, 4820 + ... + 6956.

Almost surely, 2^12582656 is an apocalyptic number.

12582656 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 12582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110216).

12582656 is an abundant number, since it is smaller than the sum of its proper divisors (13637776).

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

12582656 is an equidigital number, since it uses as much as digits as its factorization.

12582656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2162 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 12582656 is about 3547.2039693257. The cubic root of 12582656 is about 232.5898585102.

The spelling of 12582656 in words is "twelve million, five hundred eighty-two thousand, six hundred fifty-six".