11688664 has 32 divisors (see below), whose sum is σ = 23778720. Its totient is φ = 5354496.

The previous prime is 11688631. The next prime is 11688671. The reversal of 11688664 is 46688611.

11688664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11688664² = 273249732209792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17032 + ... + 17704.

It is an arithmetic number, because the mean of its divisors is an integer number (743085).

Almost surely, 2^11688664 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 11688664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11889360).

11688664 is an abundant number, since it is smaller than the sum of its proper divisors (12090056).

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

11688664 is a wasteful number, since it uses less digits than its factorization.

11688664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 11688664 is about 3418.8688187762. The cubic root of 11688664 is about 226.9455256867.

The spelling of 11688664 in words is "eleven million, six hundred eighty-eight thousand, six hundred sixty-four".