11666120 has 64 divisors (see below), whose sum is σ = 27702000. Its totient is φ = 4415488.

The previous prime is 11666117. The next prime is 11666141. The reversal of 11666120 is 2166611.

It can be written as a sum of positive squares in 8 ways, for example, as 630436 + 11035684 = 794^2 + 3322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103184 + ... + 103296.

Almost surely, 2^11666120 is an apocalyptic number.

11666120 is a gapful number since it is divisible by the number (10) 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 11666120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851000).

11666120 is an abundant number, since it is smaller than the sum of its proper divisors (16035880).

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

11666120 is a wasteful number, since it uses less digits than its factorization.

11666120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11666120 is about 3415.5702305764. The cubic root of 11666120 is about 226.7995280285.

The spelling of 11666120 in words is "eleven million, six hundred sixty-six thousand, one hundred twenty".