12686436 has 96 divisors (see below), whose sum is σ = 38196480. Its totient is φ = 3566592.

The previous prime is 12686431. The next prime is 12686441. The reversal of 12686436 is 63468621.

12686436 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 643 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12686431) and next prime (12686441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12686436.

It is not an unprimeable number, because it can be changed into a prime (12686431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73246 + ... + 73418.

It is an arithmetic number, because the mean of its divisors is an integer number (397880).

Almost surely, 2^12686436 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 12686436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19098240).

12686436 is an abundant number, since it is smaller than the sum of its proper divisors (25510044).

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

12686436 is a wasteful number, since it uses less digits than its factorization.

12686436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12686436 is about 3561.8023527422. The cubic root of 12686436 is about 233.2275647614.

The spelling of 12686436 in words is "twelve million, six hundred eighty-six thousand, four hundred thirty-six".