6838224 has 40 divisors (see below), whose sum is σ = 17841120. Its totient is φ = 2256768.

The previous prime is 6838217. The next prime is 6838241. The reversal of 6838224 is 4228386.

It is a Cunningham number, because it is equal to 2615²-1.

It is a super-2 number, since 2×6838224² = 93522614948352, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4579 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (446028).

Almost surely, 2^6838224 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 6838224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920560).

6838224 is an abundant number, since it is smaller than the sum of its proper divisors (11002896).

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

6838224 is a wasteful number, since it uses less digits than its factorization.

6838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1421 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 6838224 is about 2614.9998087954. Note that the first 3 decimals coincide. The cubic root of 6838224 is about 189.8079684922.

The spelling of 6838224 in words is "six million, eight hundred thirty-eight thousand, two hundred twenty-four".