11664000 has 224 divisors, whose sum is σ = 43479540. Its totient is φ = 3110400.

The previous prime is 11663983. The next prime is 11664017. The reversal of 11664000 is 46611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11664000 is a `hidden beast` number, since 1 + 1 + 664 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11663983) and next prime (11664017).

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 3779136 = 2808^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 2332798 + ... + 2332802.

Almost surely, 2^11664000 is an apocalyptic number.

11664000 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 11664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739770).

11664000 is an abundant number, since it is smaller than the sum of its proper divisors (31815540).

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

11664000 is an frugal number, since it uses more digits than its factorization.

11664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11664000 is about 3415.2598729818. The cubic root of 11664000 is about 226.7857889811.

The spelling of 11664000 in words is "eleven million, six hundred sixty-four thousand".