11520160 has 48 divisors (see below), whose sum is σ = 27556200. Its totient is φ = 4550656.

The previous prime is 11520083. The next prime is 11520191. The reversal of 11520160 is 6102511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9659664 + 1860496 = 3108^2 + 1364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 13836 + ... + 14644.

Almost surely, 2^11520160 is an apocalyptic number.

11520160 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 11520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778100).

11520160 is an abundant number, since it is smaller than the sum of its proper divisors (16036040).

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

11520160 is an equidigital number, since it uses as much as digits as its factorization.

11520160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 11520160 is about 3394.1361198396. The cubic root of 11520160 is about 225.8496925222.

Adding to 11520160 its reverse (6102511), we get a palindrome (17622671).

The spelling of 11520160 in words is "eleven million, five hundred twenty thousand, one hundred sixty".