6826144 has 48 divisors (see below), whose sum is σ = 14764680. Its totient is φ = 3087360.

The previous prime is 6826133. The next prime is 6826159. The reversal of 6826144 is 4416286.

It can be written as a sum of positive squares in 4 ways, for example, as 1123600 + 5702544 = 1060^2 + 2388^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25242 + ... + 25510.

Almost surely, 2^6826144 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 6826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382340).

6826144 is an abundant number, since it is smaller than the sum of its proper divisors (7938536).

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

6826144 is a wasteful number, since it uses less digits than its factorization.

6826144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 6826144 is about 2612.6890362230. The cubic root of 6826144 is about 189.6961347889.

The spelling of 6826144 in words is "six million, eight hundred twenty-six thousand, one hundred forty-four".