10686 has 16 divisors (see below), whose sum is σ = 23184. Its totient is φ = 3264.

The previous prime is 10667. The next prime is 10687. The reversal of 10686 is 68601.

10686 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×10686² = 228381192, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687) by changing a digit.

10686 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1449).

2¹⁰⁶⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592).

10686 is an abundant number, since it is smaller than the sum of its proper divisors (12498).

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

10686 is a wasteful number, since it uses less digits than its factorization.

10686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

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

The square root of 10686 is about 103.3731106236. The cubic root of 10686 is about 22.0261397282.

It can be divided in two parts, 10 and 686, that added together give a palindrome (696).

The spelling of 10686 in words is "ten thousand, six hundred eighty-six".