11866000 has 80 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 4454400.

The previous prime is 11865989. The next prime is 11866009. The reversal of 11866000 is 66811.

It can be written as a sum of positive squares in 8 ways, for example, as 1290496 + 10575504 = 1136^2 + 3252^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11866009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33826 + ... + 34174.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^11866000 is an apocalyptic number.

11866000 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 11866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

11866000 is an abundant number, since it is smaller than the sum of its proper divisors (18600800).

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

11866000 is a wasteful number, since it uses less digits than its factorization.

11866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11866000 is about 3444.7060832530. The cubic root of 11866000 is about 228.0874805375.

The spelling of 11866000 in words is "eleven million, eight hundred sixty-six thousand".