12891168 has 72 divisors (see below), whose sum is σ = 38830428. Its totient is φ = 4042752.

The previous prime is 12891157. The next prime is 12891173. The reversal of 12891168 is 86119821.

It can be written as a sum of positive squares in 2 ways, for example, as 12873744 + 17424 = 3588^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3580 + ... + 6212.

Almost surely, 2^12891168 is an apocalyptic number.

12891168 is a gapful number since it is divisible by the number (18) 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 12891168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415214).

12891168 is an abundant number, since it is smaller than the sum of its proper divisors (25939260).

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

12891168 is a wasteful number, since it uses less digits than its factorization.

12891168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2655 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12891168 is about 3590.4272726237. The cubic root of 12891168 is about 234.4754741483.

The spelling of 12891168 in words is "twelve million, eight hundred ninety-one thousand, one hundred sixty-eight".