• 6888^{2} = 47444544 is the smallest square that contains exactly six digits '4'.

6888 has 32 divisors (see below), whose sum is σ = 20160. Its totient is φ = 1920.

The previous prime is 6883. The next prime is 6899. The reversal of 6888 is 8886.

It can be divided in two parts, 688 and 8, that added together give a palindrome (696).

It is a Cunningham number, because it is equal to 83^{2}-1.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6883) 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 7 ways as a sum of consecutive naturals, for example, 148 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

6888 is an abundant number, since it is smaller than the sum of its proper divisors (13272).

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

6888 is a wasteful number, since it uses less digits than its factorization.

6888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 6888 is about 82.9939756850. The cubic root of 6888 is about 19.0267398198.

The spelling of 6888 in words is "six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888

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