11688 has 16 divisors (see below), whose sum is σ = 29280. Its totient is φ = 3888.

The previous prime is 11681. The next prime is 11689. The reversal of 11688 is 88611.

11688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 487 = 11688 / (1 + 1 + 6 + 8 + 8).

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

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11 and base 13.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11681) by changing a digit.

11688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 220 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (1830).

2¹¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

11688 is an abundant number, since it is smaller than the sum of its proper divisors (17592).

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 (14640).

11688 is a wasteful number, since it uses less digits than its factorization.

11688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11688 is about 108.1110540139. Note that the first 3 decimals coincide. The cubic root of 11688 is about 22.6941228227.

Subtracting from 11688 its sum of digits (24), we obtain a square (11664 = 108²).

It can be divided in two parts, 1168 and 8, that added together give a triangular number (1176 = T₄₈).

The spelling of 11688 in words is "eleven thousand, six hundred eighty-eight".