12806032 has 60 divisors (see below), whose sum is σ = 27771660. Its totient is φ = 5699584.

The previous prime is 12805993. The next prime is 12806041. The reversal of 12806032 is 23060821.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 6635776 = 2484^2 + 2576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12805994 and 12806012.

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 11 ways as a sum of consecutive naturals, for example, 143844 + ... + 143932.

It is an arithmetic number, because the mean of its divisors is an integer number (462861).

Almost surely, 2^12806032 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 12806032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885830).

12806032 is an abundant number, since it is smaller than the sum of its proper divisors (14965628).

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

12806032 is a wasteful number, since it uses less digits than its factorization.

12806032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12806032 is about 3578.5516623349. The cubic root of 12806032 is about 233.9581584427.

Adding to 12806032 its reverse (23060821), we get a palindrome (35866853).

The spelling of 12806032 in words is "twelve million, eight hundred six thousand, thirty-two".