11666200 has 96 divisors (see below), whose sum is σ = 33435360. Its totient is φ = 3686400.

The previous prime is 11666191. The next prime is 11666227. The reversal of 11666200 is 266611.

It is a super-2 number, since 2×11666200² = 272200444880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17880 + ... + 18520.

It is an arithmetic number, because the mean of its divisors is an integer number (348285).

Almost surely, 2^11666200 is an apocalyptic number.

11666200 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 11666200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717680).

11666200 is an abundant number, since it is smaller than the sum of its proper divisors (21769160).

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

11666200 is a wasteful number, since it uses less digits than its factorization.

11666200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 11666200 is about 3415.5819416316. The cubic root of 11666200 is about 226.8000464505.

The spelling of 11666200 in words is "eleven million, six hundred sixty-six thousand, two hundred".