11009664 has 96 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3469824.

The previous prime is 11009657. The next prime is 11009729. The reversal of 11009664 is 46690011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11009664³ (a number of 22 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21637 + ... + 22139.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^11009664 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 11009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

11009664 is an abundant number, since it is smaller than the sum of its proper divisors (22405536).

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

11009664 is a wasteful number, since it uses less digits than its factorization.

11009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11009664 is about 3318.0813733240. The cubic root of 11009664 is about 222.4631189133.

Adding to 11009664 its reverse (46690011), we get a palindrome (57699675).

The spelling of 11009664 in words is "eleven million, nine thousand, six hundred sixty-four".