11686116 has 48 divisors (see below), whose sum is σ = 30651264. Its totient is φ = 3438336.

The previous prime is 11686111. The next prime is 11686133. The reversal of 11686116 is 61168611.

It is a happy number.

It is a super-3 number, since 3×11686116³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11686111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (638568).

Almost surely, 2^11686116 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 11686116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325632).

11686116 is an abundant number, since it is smaller than the sum of its proper divisors (18965148).

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

11686116 is a wasteful number, since it uses less digits than its factorization.

11686116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3298 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 11686116 is about 3418.4961605946. The cubic root of 11686116 is about 226.9290339467.

The spelling of 11686116 in words is "eleven million, six hundred eighty-six thousand, one hundred sixteen".