11668968 has 64 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 3839616.

The previous prime is 11668967. The next prime is 11668997. The reversal of 11668968 is 86986611.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11668967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18921 + ... + 19527.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^11668968 is an apocalyptic number.

11668968 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 11668968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

11668968 is an abundant number, since it is smaller than the sum of its proper divisors (21163032).

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

11668968 is a wasteful number, since it uses less digits than its factorization.

11668968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

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

The square root of 11668968 is about 3415.9871194137. The cubic root of 11668968 is about 226.8179823932.

The spelling of 11668968 in words is "eleven million, six hundred sixty-eight thousand, nine hundred sixty-eight".