6854144 has 40 divisors (see below), whose sum is σ = 14952168. Its totient is φ = 3112960.

The previous prime is 6854123. The next prime is 6854147. The reversal of 6854144 is 4414586.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6854144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5024 + ... + 6240.

Almost surely, 2^6854144 is an apocalyptic number.

6854144 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 6854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476084).

6854144 is an abundant number, since it is smaller than the sum of its proper divisors (8098024).

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

6854144 is a wasteful number, since it uses less digits than its factorization.

6854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 6854144 is about 2618.0420164696. The cubic root of 6854144 is about 189.9551510025.

The spelling of 6854144 in words is "six million, eight hundred fifty-four thousand, one hundred forty-four".