10868 has 24 divisors (see below), whose sum is σ = 23520. Its totient is φ = 4320.

The previous prime is 10867. The next prime is 10883. The reversal of 10868 is 86801.

10868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10868 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×10868² = 236226848, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10861) 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, 563 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (980).

2¹⁰⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

10868 is an abundant number, since it is smaller than the sum of its proper divisors (12652).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760).

10868 is a wasteful number, since it uses less digits than its factorization.

10868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10868 is about 104.2497002394. The cubic root of 10868 is about 22.1504834739.

It can be divided in two parts, 10 and 868, that added together give a palindrome (878).

The spelling of 10868 in words is "ten thousand, eight hundred sixty-eight".