6441344 has 96 divisors (see below), whose sum is σ = 16279200. Its totient is φ = 2515968.

The previous prime is 6441343. The next prime is 6441349. The reversal of 6441344 is 4431446.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81497 + ... + 81575.

It is an arithmetic number, because the mean of its divisors is an integer number (169575).

Almost surely, 2^6441344 is an apocalyptic number.

6441344 is a gapful number since it is divisible by the number (64) 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 6441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139600).

6441344 is an abundant number, since it is smaller than the sum of its proper divisors (9837856).

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

6441344 is a wasteful number, since it uses less digits than its factorization.

6441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 6441344 is about 2537.9802993719. The cubic root of 6441344 is about 186.0624910461.

The spelling of 6441344 in words is "six million, four hundred forty-one thousand, three hundred forty-four".