11165664 has 48 divisors (see below), whose sum is σ = 29611008. Its totient is φ = 3683712.

The previous prime is 11165659. The next prime is 11165677. The reversal of 11165664 is 46656111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9729 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 2^11165664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504).

11165664 is an abundant number, since it is smaller than the sum of its proper divisors (18445344).

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

11165664 is a wasteful number, since it uses less digits than its factorization.

11165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 11165664 is about 3341.5062471885. The cubic root of 11165664 is about 223.5089156591.

The spelling of 11165664 in words is "eleven million, one hundred sixty-five thousand, six hundred sixty-four".