6387444 has 144 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 1693440.

The previous prime is 6387413. The next prime is 6387449. The reversal of 6387444 is 4447836.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6387399 and 6387408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6387449) 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 47 ways as a sum of consecutive naturals, for example, 89929 + ... + 89999.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^6387444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6387444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

6387444 is an abundant number, since it is smaller than the sum of its proper divisors (14296716).

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

6387444 is a wasteful number, since it uses less digits than its factorization.

6387444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 6387444 is about 2527.3393123995. The cubic root of 6387444 is about 185.5420576288.

The spelling of 6387444 in words is "six million, three hundred eighty-seven thousand, four hundred forty-four".