11133564 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3134208.

The previous prime is 11133553. The next prime is 11133599. The reversal of 11133564 is 46533111.

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 31 ways as a sum of consecutive naturals, for example, 103999 + ... + 104105.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^11133564 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 11133564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11133564 is an abundant number, since it is smaller than the sum of its proper divisors (19348356).

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

11133564 is a wasteful number, since it uses less digits than its factorization.

11133564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 11133564 is about 3336.6995669374. The cubic root of 11133564 is about 223.2945225992.

Adding to 11133564 its reverse (46533111), we get a palindrome (57666675).

The spelling of 11133564 in words is "eleven million, one hundred thirty-three thousand, five hundred sixty-four".