• 868 can be written using four 4's:

See also 113.

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868 has 12 divisors (see below), whose sum is σ = 1792. Its totient is φ = 360.

The previous prime is 863. The next prime is 877.

868 is nontrivially palindromic in base 6 and base 10.

868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

868 is an admirable number.

868 is an undulating number in base 10.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 43.

2⁸⁶⁸ 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 868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896).

868 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

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

The sum of its prime factors is 42 (or 40 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 868 is about 29.4618397253. The cubic root of 868 is about 9.5390818455.

Subtracting from 868 its product of digits (384), we obtain a palindrome (484).

The spelling of 868 in words is "eight hundred sixty-eight", and thus it is an aban number and an oban number.