12886416 has 60 divisors (see below), whose sum is σ = 36439260. Its totient is φ = 4250880.

The previous prime is 12886381. The next prime is 12886439. The reversal of 12886416 is 61468821.

12886416 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 6656400 = 2496^2 + 2580^2 .

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, 15286 + ... + 16106.

It is an arithmetic number, because the mean of its divisors is an integer number (607321).

Almost surely, 2^12886416 is an apocalyptic number.

12886416 is a gapful number since it is divisible by the number (16) 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 12886416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18219630).

12886416 is an abundant number, since it is smaller than the sum of its proper divisors (23552844).

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

12886416 is a wasteful number, since it uses less digits than its factorization.

12886416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 935 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12886416 is about 3589.7654519481. The cubic root of 12886416 is about 234.4466594748.

The spelling of 12886416 in words is "twelve million, eight hundred eighty-six thousand, four hundred sixteen".