6826944 has 84 divisors (see below), whose sum is σ = 19168872. Its totient is φ = 2142720.

The previous prime is 6826933. The next prime is 6826969. The reversal of 6826944 is 4496286.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184494 + ... + 184530.

Almost surely, 2^6826944 is an apocalyptic number.

6826944 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 6826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584436).

6826944 is an abundant number, since it is smaller than the sum of its proper divisors (12341928).

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

6826944 is a wasteful number, since it uses less digits than its factorization.

6826944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 6826944 is about 2612.8421307075. The cubic root of 6826944 is about 189.7035450721.

It can be divided in two parts, 682 and 6944, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 6826944 in words is "six million, eight hundred twenty-six thousand, nine hundred forty-four".