12825344 has 72 divisors (see below), whose sum is σ = 31052448. Its totient is φ = 5160960.

The previous prime is 12825331. The next prime is 12825359. The reversal of 12825344 is 44352821.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30254 + ... + 30674.

It is an arithmetic number, because the mean of its divisors is an integer number (431284).

Almost surely, 2^12825344 is an apocalyptic number.

12825344 is a gapful number since it is divisible by the number (14) 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 12825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15526224).

12825344 is an abundant number, since it is smaller than the sum of its proper divisors (18227104).

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

12825344 is an equidigital number, since it uses as much as digits as its factorization.

12825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 12825344 is about 3581.2489441534. The cubic root of 12825344 is about 234.0757054094.

The spelling of 12825344 in words is "twelve million, eight hundred twenty-five thousand, three hundred forty-four".