11283264 has 84 divisors (see below), whose sum is σ = 34076640. Its totient is φ = 3559680.

The previous prime is 11283263. The next prime is 11283277. The reversal of 11283264 is 46238211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10429 + ... + 11459.

Almost surely, 2^11283264 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 11283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038320).

11283264 is an abundant number, since it is smaller than the sum of its proper divisors (22793376).

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

11283264 is a wasteful number, since it uses less digits than its factorization.

11283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11283264 is about 3359.0570105314. The cubic root of 11283264 is about 224.2908636471.

It can be divided in two parts, 112832 and 64, that added together give a square (112896 = 336²).

The spelling of 11283264 in words is "eleven million, two hundred eighty-three thousand, two hundred sixty-four".