12546656 has 48 divisors (see below), whose sum is σ = 25846128. Its totient is φ = 5990400.

The previous prime is 12546643. The next prime is 12546683. The reversal of 12546656 is 65664521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95711 + ... + 95841.

It is an arithmetic number, because the mean of its divisors is an integer number (538461).

Almost surely, 2^12546656 is an apocalyptic number.

12546656 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 12546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923064).

12546656 is an abundant number, since it is smaller than the sum of its proper divisors (13299472).

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

12546656 is a wasteful number, since it uses less digits than its factorization.

12546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 12546656 is about 3542.1259153226. The cubic root of 12546656 is about 232.3678271382.

It can be divided in two parts, 125 and 46656, that multiplied together give a cube (5832000 = 180³).

The spelling of 12546656 in words is "twelve million, five hundred forty-six thousand, six hundred fifty-six".