12538656 has 144 divisors (see below), whose sum is σ = 40864824. Its totient is φ = 3612672.

The previous prime is 12538649. The next prime is 12538679. The reversal of 12538656 is 65683521.

12538656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12362256 + 176400 = 3516^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 12538656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63550 + ... + 63746.

Almost surely, 2^12538656 is an apocalyptic number.

12538656 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 12538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432412).

12538656 is an abundant number, since it is smaller than the sum of its proper divisors (28326168).

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

12538656 is a wasteful number, since it uses less digits than its factorization.

12538656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 12538656 is about 3540.9964699220. The cubic root of 12538656 is about 232.3184291723.

It can be divided in two parts, 125 and 38656, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 12538656 in words is "twelve million, five hundred thirty-eight thousand, six hundred fifty-six".