12886848 has 84 divisors (see below), whose sum is σ = 39802308. Its totient is φ = 3962880.

The previous prime is 12886843. The next prime is 12886849. The reversal of 12886848 is 84868821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 7354944 = 2352^2 + 2712^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6628 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (473837).

Almost surely, 2^12886848 is an apocalyptic number.

12886848 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 12886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901154).

12886848 is an abundant number, since it is smaller than the sum of its proper divisors (26915460).

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

12886848 is a wasteful number, since it uses less digits than its factorization.

12886848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1739 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 12886848 is about 3589.8256225059. The cubic root of 12886848 is about 234.4492792832.

The spelling of 12886848 in words is "twelve million, eight hundred eighty-six thousand, eight hundred forty-eight".