11520320 has 112 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 3815424.

The previous prime is 11520307. The next prime is 11520323. The reversal of 11520320 is 2302511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11520295 and 11520304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520323) 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 15 ways as a sum of consecutive naturals, for example, 82811 + ... + 82949.

It is an arithmetic number, because the mean of its divisors is an integer number (289560).

Almost surely, 2^11520320 is an apocalyptic number.

11520320 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 11520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

11520320 is an abundant number, since it is smaller than the sum of its proper divisors (20910400).

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

11520320 is a wasteful number, since it uses less digits than its factorization.

11520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11520320 is about 3394.1596898201. The cubic root of 11520320 is about 225.8507381033.

Adding to 11520320 its reverse (2302511), we get a palindrome (13822831).

It can be divided in two parts, 11520 and 320, that multiplied together give a square (3686400 = 1920²).

The spelling of 11520320 in words is "eleven million, five hundred twenty thousand, three hundred twenty".