6866144 has 48 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 3104640.

The previous prime is 6866143. The next prime is 6866149. The reversal of 6866144 is 4416686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6866143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13739 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (309960).

Almost surely, 2^6866144 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 6866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439040).

6866144 is an abundant number, since it is smaller than the sum of its proper divisors (8011936).

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

6866144 is a wasteful number, since it uses less digits than its factorization.

6866144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 6866144 is about 2620.3328032905. The cubic root of 6866144 is about 190.0659420236.

The spelling of 6866144 in words is "six million, eight hundred sixty-six thousand, one hundred forty-four".