6386944 has 36 divisors (see below), whose sum is σ = 12989620. Its totient is φ = 3133440.

The previous prime is 6386923. The next prime is 6386953. The reversal of 6386944 is 4496836.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 3564544 = 1680^2 + 1888^2 .

It is a d-powerful number, because it can be written as 6² + 3¹³ + 8 + 6⁴ + 9⁶ + 4⁸ + 4¹¹ .

Its product of digits (124416) is a multiple of the sum of its prime factors (486).

It is a junction number, because it is equal to n+sod(n) for n = 6386897 and 6386906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15412 + ... + 15820.

Almost surely, 2^6386944 is an apocalyptic number.

6386944 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 6386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494810).

6386944 is an abundant number, since it is smaller than the sum of its proper divisors (6602676).

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

6386944 is an equidigital number, since it uses as much as digits as its factorization.

6386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 6386944 is about 2527.2403922065. The cubic root of 6386944 is about 185.5372161800.

The spelling of 6386944 in words is "six million, three hundred eighty-six thousand, nine hundred forty-four".