12844384 has 48 divisors (see below), whose sum is σ = 30608928. Its totient is φ = 5179392.

The previous prime is 12844379. The next prime is 12844393. The reversal of 12844384 is 48344821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2122 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (637686).

Almost surely, 2^12844384 is an apocalyptic number.

12844384 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 12844384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304464).

12844384 is an abundant number, since it is smaller than the sum of its proper divisors (17764544).

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

12844384 is a wasteful number, since it uses less digits than its factorization.

12844384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3399 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 12844384 is about 3583.9062487738. The cubic root of 12844384 is about 234.1914813237.

The spelling of 12844384 in words is "twelve million, eight hundred forty-four thousand, three hundred eighty-four".