11264 has 22 divisors (see below), whose sum is σ = 24564. Its totient is φ = 5120.

The previous prime is 11261. The next prime is 11273. The reversal of 11264 is 46211.

It is a tau number, because it is divible by the number of its divisors (22).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1019 + ... + 1029.

11264 is a Friedman number, since it can be written as 11*2^(6+4), using all its digits and the basic arithmetic operations.

2¹¹²⁶⁴ 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 11264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282).

11264 is an abundant number, since it is smaller than the sum of its proper divisors (13300).

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

11264 is an equidigital number, since it uses as much as digits as its factorization.

11264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 13 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 11264 is about 106.1319932914. The cubic root of 11264 is about 22.4163146452.

Adding to 11264 its reverse (46211), we get a palindrome (57475).

The spelling of 11264 in words is "eleven thousand, two hundred sixty-four".