11136320 has 56 divisors (see below), whose sum is σ = 28568904. Its totient is φ = 4110336.

The previous prime is 11136313. The next prime is 11136329. The reversal of 11136320 is 2363111.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 10705984 = 656^2 + 3272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11136329) 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 7 ways as a sum of consecutive naturals, for example, 2822 + ... + 5498.

It is an arithmetic number, because the mean of its divisors is an integer number (510159).

Almost surely, 2^11136320 is an apocalyptic number.

11136320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284452).

11136320 is an abundant number, since it is smaller than the sum of its proper divisors (17432584).

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

11136320 is a wasteful number, since it uses less digits than its factorization.

11136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 11136320 is about 3337.1125243240. The cubic root of 11136320 is about 223.3129458383.

Adding to 11136320 its reverse (2363111), we get a palindrome (13499431).

The spelling of 11136320 in words is "eleven million, one hundred thirty-six thousand, three hundred twenty".