11563264 has 36 divisors (see below), whose sum is σ = 24448284. Its totient is φ = 5439488.

The previous prime is 11563261. The next prime is 11563283. The reversal of 11563264 is 46236511.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 3268864 = 2880^2 + 1808^2 .

It is not an unprimeable number, because it can be changed into a prime (11563261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3024 + ... + 5680.

It is an arithmetic number, because the mean of its divisors is an integer number (679119).

Almost surely, 2^11563264 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 11563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224142).

11563264 is an abundant number, since it is smaller than the sum of its proper divisors (12885020).

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

11563264 is an equidigital number, since it uses as much as digits as its factorization.

11563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2676 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 11563264 is about 3400.4799661224. The cubic root of 11563264 is about 226.1310227801.

Adding to 11563264 its reverse (46236511), we get a palindrome (57799775).

The spelling of 11563264 in words is "eleven million, five hundred sixty-three thousand, two hundred sixty-four".