6846944 has 48 divisors (see below), whose sum is σ = 14747040. Its totient is φ = 3110400.

The previous prime is 6846941. The next prime is 6846947. The reversal of 6846944 is 4496486.

It is an interprime number because it is at equal distance from previous prime (6846941) and next prime (6846947).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846941) by changing a digit.

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, 45269 + ... + 45419.

It is an arithmetic number, because the mean of its divisors is an integer number (307230).

Almost surely, 2^6846944 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 6846944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373520).

6846944 is an abundant number, since it is smaller than the sum of its proper divisors (7900096).

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

6846944 is a wasteful number, since it uses less digits than its factorization.

6846944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 6846944 is about 2616.6665817410. Note that the first 3 decimals coincide. The cubic root of 6846944 is about 189.8886143077. Note that the first 3 decimals are identical.

The spelling of 6846944 in words is "six million, eight hundred forty-six thousand, nine hundred forty-four".