12887168 has 64 divisors (see below), whose sum is σ = 30926400. Its totient is φ = 5225472.

The previous prime is 12887167. The next prime is 12887177. The reversal of 12887168 is 86178821.

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

It is not an unprimeable number, because it can be changed into a prime (12887167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16646 + ... + 17402.

It is an arithmetic number, because the mean of its divisors is an integer number (483225).

Almost surely, 2^12887168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463200).

12887168 is an abundant number, since it is smaller than the sum of its proper divisors (18039232).

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

12887168 is an equidigital number, since it uses as much as digits as its factorization.

12887168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its digits is 43008, while the sum is 41.

The square root of 12887168 is about 3589.8701926393. The cubic root of 12887168 is about 234.4512198443.

The spelling of 12887168 in words is "twelve million, eight hundred eighty-seven thousand, one hundred sixty-eight".