11139264 has 84 divisors (see below), whose sum is σ = 32452056. Its totient is φ = 3652608.

The previous prime is 11139253. The next prime is 11139269. The reversal of 11139264 is 46293111.

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

It is not an unprimeable number, because it can be changed into a prime (11139269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47692 + ... + 47924.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 2^11139264 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 11139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226028).

11139264 is an abundant number, since it is smaller than the sum of its proper divisors (21312792).

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

11139264 is a wasteful number, since it uses less digits than its factorization.

11139264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

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

The square root of 11139264 is about 3337.5535950753. The cubic root of 11139264 is about 223.3326224576.

The spelling of 11139264 in words is "eleven million, one hundred thirty-nine thousand, two hundred sixty-four".