11132320 has 48 divisors (see below), whose sum is σ = 26957448. Its totient is φ = 4341760.

The previous prime is 11132311. The next prime is 11132327. The reversal of 11132320 is 2323111.

11132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9024016 + 2108304 = 3004^2 + 1452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11132320.

It is not an unprimeable number, because it can be changed into a prime (11132327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5712 + ... + 7408.

Almost surely, 2^11132320 is an apocalyptic number.

11132320 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 11132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478724).

11132320 is an abundant number, since it is smaller than the sum of its proper divisors (15825128).

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

11132320 is a wasteful number, since it uses less digits than its factorization.

11132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11132320 is about 3336.5131499816. The cubic root of 11132320 is about 223.2862057436.

Adding to 11132320 its reverse (2323111), we get a palindrome (13455431).

The spelling of 11132320 in words is "eleven million, one hundred thirty-two thousand, three hundred twenty".