6888200 has 96 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 2400000.

The previous prime is 6888199. The next prime is 6888209. The reversal of 6888200 is 28886.

It is not an unprimeable number, because it can be changed into a prime (6888209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68150 + ... + 68250.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 2^6888200 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 6888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

6888200 is an abundant number, since it is smaller than the sum of its proper divisors (11324920).

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

6888200 is a wasteful number, since it uses less digits than its factorization.

6888200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 6888200 is about 2624.5380545917. The cubic root of 6888200 is about 190.2692397153.

It can be divided in two parts, 688 and 8200, that added together give a palindrome (8888).

The spelling of 6888200 in words is "six million, eight hundred eighty-eight thousand, two hundred".