11138784 has 48 divisors (see below), whose sum is σ = 30255120. Its totient is φ = 3584000.

The previous prime is 11138767. The next prime is 11138821. The reversal of 11138784 is 48783111.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 784 + ... + 4784.

It is an arithmetic number, because the mean of its divisors is an integer number (630315).

Almost surely, 2^11138784 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 11138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127560).

11138784 is an abundant number, since it is smaller than the sum of its proper divisors (19116336).

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

11138784 is a wasteful number, since it uses less digits than its factorization.

11138784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4035 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 11138784 is about 3337.4816853430. The cubic root of 11138784 is about 223.3294145497.

The spelling of 11138784 in words is "eleven million, one hundred thirty-eight thousand, seven hundred eighty-four".