6851200 has 48 divisors (see below), whose sum is σ = 16932510. Its totient is φ = 2739200.

The previous prime is 6851189. The next prime is 6851213. The reversal of 6851200 is 21586.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6431296 + 419904 = 2536^2 + 648^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2130 + ... + 4270.

Almost surely, 2^6851200 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 6851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466255).

6851200 is an abundant number, since it is smaller than the sum of its proper divisors (10081310).

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

6851200 is a wasteful number, since it uses less digits than its factorization.

6851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 6851200 is about 2617.4797038373. The cubic root of 6851200 is about 189.9279505211.

Adding to 6851200 its reverse (21586), we get a palindrome (6872786).

The spelling of 6851200 in words is "six million, eight hundred fifty-one thousand, two hundred".