11686968 has 96 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 3663360.

The previous prime is 11686951. The next prime is 11686979. The reversal of 11686968 is 86968611.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109171 + ... + 109277.

Almost surely, 2^11686968 is an apocalyptic number.

11686968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11686968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

11686968 is an abundant number, since it is smaller than the sum of its proper divisors (21924792).

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

11686968 is a wasteful number, since it uses less digits than its factorization.

11686968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 11686968 is about 3418.6207745230. The cubic root of 11686968 is about 226.9345487199.

The spelling of 11686968 in words is "eleven million, six hundred eighty-six thousand, nine hundred sixty-eight".