11664100 has 72 divisors (see below), whose sum is σ = 30484160. Its totient is φ = 3784320.

The previous prime is 11664089. The next prime is 11664181. The reversal of 11664100 is 146611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 12862 + ... + 13738.

Almost surely, 2^11664100 is an apocalyptic number.

11664100 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 11664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242080).

11664100 is an abundant number, since it is smaller than the sum of its proper divisors (18820060).

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

11664100 is a wasteful number, since it uses less digits than its factorization.

11664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11664100 is about 3415.2745131248. The cubic root of 11664100 is about 226.7864370868.

The spelling of 11664100 in words is "eleven million, six hundred sixty-four thousand, one hundred".