12556160 has 64 divisors (see below), whose sum is σ = 31358880. Its totient is φ = 4798464.

The previous prime is 12556153. The next prime is 12556163. The reversal of 12556160 is 6165521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12556163) by changing a digit.

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, 14294 + ... + 15146.

Almost surely, 2^12556160 is an apocalyptic number.

12556160 is a gapful number since it is divisible by the number (10) 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 12556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679440).

12556160 is an abundant number, since it is smaller than the sum of its proper divisors (18802720).

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

12556160 is an equidigital number, since it uses as much as digits as its factorization.

12556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 12556160 is about 3543.4672285771. The cubic root of 12556160 is about 232.4264846387.

The spelling of 12556160 in words is "twelve million, five hundred fifty-six thousand, one hundred sixty".