11666000 has 80 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 4406400.

The previous prime is 11665963. The next prime is 11666021. The reversal of 11666000 is 66611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37847 + ... + 38153.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^11666000 is an apocalyptic number.

11666000 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 11666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

11666000 is an abundant number, since it is smaller than the sum of its proper divisors (18123760).

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

11666000 is a wasteful number, since it uses less digits than its factorization.

11666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 11666000 is about 3415.5526639184. The cubic root of 11666000 is about 226.7987503910.

The spelling of 11666000 in words is "eleven million, six hundred sixty-six thousand".