11664300 has 72 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 3053120.

The previous prime is 11664283. The next prime is 11664307. The reversal of 11664300 is 346611.

It is not an unprimeable number, because it can be changed into a prime (11664307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17371 + ... + 18029.

It is an arithmetic number, because the mean of its divisors is an integer number (477400).

Almost surely, 2^11664300 is an apocalyptic number.

11664300 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 11664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

11664300 is an abundant number, since it is smaller than the sum of its proper divisors (22708500).

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

11664300 is a wasteful number, since it uses less digits than its factorization.

11664300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 11664300 is about 3415.3037932225. The cubic root of 11664300 is about 226.7877332870.

The spelling of 11664300 in words is "eleven million, six hundred sixty-four thousand, three hundred".