11868 has 24 divisors (see below), whose sum is σ = 29568. Its totient is φ = 3696.

The previous prime is 11867. The next prime is 11887. The reversal of 11868 is 86811.

11868 is nontrivially palindromic in base 5.

It is a plaindrome in base 14.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (1232).

2¹¹⁸⁶⁸ 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 11868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784).

11868 is an abundant number, since it is smaller than the sum of its proper divisors (17700).

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

11868 is a wasteful number, since it uses less digits than its factorization.

11868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

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

The square root of 11868 is about 108.9403506512. The cubic root of 11868 is about 22.8100294441.

The spelling of 11868 in words is "eleven thousand, eight hundred sixty-eight".