12866688 has 160 divisors (see below), whose sum is σ = 41098860. Its totient is φ = 3981312.

The previous prime is 12866681. The next prime is 12866717. The reversal of 12866688 is 88666821.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 419904 = 3528^2 + 648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12866681) 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 19 ways as a sum of consecutive naturals, for example, 176220 + ... + 176292.

Almost surely, 2^12866688 is an apocalyptic number.

12866688 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 12866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549430).

12866688 is an abundant number, since it is smaller than the sum of its proper divisors (28232172).

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

12866688 is an equidigital number, since it uses as much as digits as its factorization.

12866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 12866688 is about 3587.0165876394. The cubic root of 12866688 is about 234.3269591135.

The spelling of 12866688 in words is "twelve million, eight hundred sixty-six thousand, six hundred eighty-eight".