12868440 has 128 divisors (see below), whose sum is σ = 42517440. Its totient is φ = 3096576.

The previous prime is 12868423. The next prime is 12868451. The reversal of 12868440 is 4486821.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113824 + ... + 113936.

Almost surely, 2^12868440 is an apocalyptic number.

12868440 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 12868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258720).

12868440 is an abundant number, since it is smaller than the sum of its proper divisors (29649000).

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

12868440 is a wasteful number, since it uses less digits than its factorization.

12868440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12868440 is about 3587.2607934188. The cubic root of 12868440 is about 234.3375943860.

The spelling of 12868440 in words is "twelve million, eight hundred sixty-eight thousand, four hundred forty".