12656160 has 288 divisors, whose sum is σ = 50948352. Its totient is φ = 2826240.

The previous prime is 12656159. The next prime is 12656179. The reversal of 12656160 is 6165621.

It is a happy number.

12656160 is a `hidden beast` number, since 1 + 2 + 656 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269257 + ... + 269303.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^12656160 is an apocalyptic number.

12656160 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 12656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

12656160 is an abundant number, since it is smaller than the sum of its proper divisors (38292192).

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

12656160 is a wasteful number, since it uses less digits than its factorization.

12656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12656160 is about 3557.5497185563. The cubic root of 12656160 is about 233.0418855483.

It can be divided in two parts, 126561 and 60, that added together give a palindrome (126621).

The spelling of 12656160 in words is "twelve million, six hundred fifty-six thousand, one hundred sixty".