6842144 has 48 divisors (see below), whose sum is σ = 14265720. Its totient is φ = 3225600.

The previous prime is 6842137. The next prime is 6842149. The reversal of 6842144 is 4412486.

It can be written as a sum of positive squares in 4 ways, for example, as 6822544 + 19600 = 2612^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842149) 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, 67694 + ... + 67794.

Almost surely, 2^6842144 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 6842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132860).

6842144 is an abundant number, since it is smaller than the sum of its proper divisors (7423576).

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

6842144 is a wasteful number, since it uses less digits than its factorization.

6842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 6842144 is about 2615.7492234540. The cubic root of 6842144 is about 189.8442305931.

The spelling of 6842144 in words is "six million, eight hundred forty-two thousand, one hundred forty-four".