11664200 has 24 divisors (see below), whose sum is σ = 27119730. Its totient is φ = 4665600.

The previous prime is 11664181. The next prime is 11664203. The reversal of 11664200 is 246611.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4831204 + 6832996 = 2198^2 + 2614^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11664203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28961 + ... + 29360.

Almost surely, 2^11664200 is an apocalyptic number.

11664200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664200 is an abundant number, since it is smaller than the sum of its proper divisors (15455530).

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

11664200 is a wasteful number, since it uses less digits than its factorization.

11664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58337 (or 58328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11664200 is about 3415.2891532050. The cubic root of 11664200 is about 226.7870851887.

The spelling of 11664200 in words is "eleven million, six hundred sixty-four thousand, two hundred".