6444144 has 80 divisors (see below), whose sum is σ = 21149440. Its totient is φ = 1840320.

The previous prime is 6444121. The next prime is 6444161. The reversal of 6444144 is 4414446.

6444144 is a `hidden beast` number, since 644 + 4 + 14 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (264368).

Almost surely, 2^6444144 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 6444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574720).

6444144 is an abundant number, since it is smaller than the sum of its proper divisors (14705296).

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

6444144 is a wasteful number, since it uses less digits than its factorization.

6444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 6444144 is about 2538.5318591658. The cubic root of 6444144 is about 186.0894470926.

The spelling of 6444144 in words is "six million, four hundred forty-four thousand, one hundred forty-four".