11328160 has 48 divisors (see below), whose sum is σ = 27066312. Its totient is φ = 4480000.

The previous prime is 11328157. The next prime is 11328173. The reversal of 11328160 is 6182311.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 11664 = 3364^2 + 108^2 .

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, 15810 + ... + 16510.

Almost surely, 2^11328160 is an apocalyptic number.

11328160 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 11328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533156).

11328160 is an abundant number, since it is smaller than the sum of its proper divisors (15738152).

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

11328160 is a wasteful number, since it uses less digits than its factorization.

11328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11328160 is about 3365.7332039245. The cubic root of 11328160 is about 224.5879536922.

The spelling of 11328160 in words is "eleven million, three hundred twenty-eight thousand, one hundred sixty".