6806944 has 24 divisors (see below), whose sum is σ = 13466628. Its totient is φ = 3386880.

The previous prime is 6806939. The next prime is 6806957. The reversal of 6806944 is 4496086.

It can be written as a sum of positive squares in 2 ways, for example, as 6656400 + 150544 = 2580^2 + 388^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8614 + ... + 9370.

Almost surely, 2^6806944 is an apocalyptic number.

It is an amenable number.

6806944 is a deficient number, since it is larger than the sum of its proper divisors (6659684).

6806944 is a wasteful number, since it uses less digits than its factorization.

6806944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 6806944 is about 2609.0120735635. The cubic root of 6806944 is about 189.5181140339.

It can be divided in two parts, 6806 and 944, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 6806944 in words is "six million, eight hundred six thousand, nine hundred forty-four".