12444840 has 160 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3155328.

The previous prime is 12444827. The next prime is 12444841. The reversal of 12444840 is 4844421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444841) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 74437 + ... + 74603.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 2^12444840 is an apocalyptic number.

12444840 is a gapful number since it is divisible by the number (10) 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 12444840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

12444840 is an abundant number, since it is smaller than the sum of its proper divisors (31463640).

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

12444840 is a wasteful number, since it uses less digits than its factorization.

12444840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 12444840 is about 3527.7244790374. The cubic root of 12444840 is about 231.7375649217.

It can be divided in two parts, 1244 and 4840, that added together give a square (6084 = 78²).

The spelling of 12444840 in words is "twelve million, four hundred forty-four thousand, eight hundred forty".