12844416 has 128 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 3778560.

The previous prime is 12844393. The next prime is 12844417. The reversal of 12844416 is 61444821.

12844416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154711 + ... + 154793.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^12844416 is an apocalyptic number.

12844416 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 12844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

12844416 is an abundant number, since it is smaller than the sum of its proper divisors (25540224).

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

12844416 is a wasteful number, since it uses less digits than its factorization.

12844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12844416 is about 3583.9107131735. The cubic root of 12844416 is about 234.1916758087.

It can be divided in two parts, 128 and 44416, that added together give a palindrome (44544).

The spelling of 12844416 in words is "twelve million, eight hundred forty-four thousand, four hundred sixteen".