6852144 has 80 divisors (see below), whose sum is σ = 19443200. Its totient is φ = 2066688.

The previous prime is 6852133. The next prime is 6852151. The reversal of 6852144 is 4412586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49227 + ... + 49365.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 2^6852144 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 6852144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721600).

6852144 is an abundant number, since it is smaller than the sum of its proper divisors (12591056).

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

6852144 is a wasteful number, since it uses less digits than its factorization.

6852144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 6852144 is about 2617.6600237617. The cubic root of 6852144 is about 189.9366732631.

It can be divided in two parts, 6852 and 144, that added together give a palindrome (6996).

The spelling of 6852144 in words is "six million, eight hundred fifty-two thousand, one hundred forty-four".