11965668 has 96 divisors (see below), whose sum is σ = 34621440. Its totient is φ = 3162240.

The previous prime is 11965643. The next prime is 11965669. The reversal of 11965668 is 86656911.

It is a happy number.

11965668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11965669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32421 + ... + 32787.

It is an arithmetic number, because the mean of its divisors is an integer number (360640).

Almost surely, 2^11965668 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 11965668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310720).

11965668 is an abundant number, since it is smaller than the sum of its proper divisors (22655772).

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

11965668 is a wasteful number, since it uses less digits than its factorization.

11965668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 11965668 is about 3459.1426683501. The cubic root of 11965668 is about 228.7243047969.

The spelling of 11965668 in words is "eleven million, nine hundred sixty-five thousand, six hundred sixty-eight".