12829136 has 40 divisors (see below), whose sum is σ = 26352480. Its totient is φ = 6039936.

The previous prime is 12829129. The next prime is 12829139. The reversal of 12829136 is 63192821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19631 + ... + 20273.

It is an arithmetic number, because the mean of its divisors is an integer number (658812).

Almost surely, 2^12829136 is an apocalyptic number.

12829136 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 12829136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176240).

12829136 is an abundant number, since it is smaller than the sum of its proper divisors (13523344).

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

12829136 is a wasteful number, since it uses less digits than its factorization.

12829136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 12829136 is about 3581.7783292661. The cubic root of 12829136 is about 234.0987724349.

The spelling of 12829136 in words is "twelve million, eight hundred twenty-nine thousand, one hundred thirty-six".