10866 has 8 divisors (see below), whose sum is σ = 21744. Its totient is φ = 3620.

The previous prime is 10861. The next prime is 10867. The reversal of 10866 is 66801.

10866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

10866 is an admirable number.

It is a plaindrome in base 15.

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 3 ways as a sum of consecutive naturals, for example, 900 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (2718).

2¹⁰⁸⁶⁶ is an apocalyptic number.

10866 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872).

10866 is a wasteful number, since it uses less digits than its factorization.

10866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10866 is about 104.2401074443. The cubic root of 10866 is about 22.1491246319.

The spelling of 10866 in words is "ten thousand, eight hundred sixty-six".