11616160 has 48 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 4582656.

The previous prime is 11616139. The next prime is 11616167. The reversal of 11616160 is 6161611.

11616160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11616167) 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, 12181 + ... + 13099.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 2^11616160 is an apocalyptic number.

11616160 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 11616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

11616160 is an abundant number, since it is smaller than the sum of its proper divisors (16204640).

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

11616160 is an equidigital number, since it uses as much as digits as its factorization.

11616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 11616160 is about 3408.2488172080. The cubic root of 11616160 is about 226.4753094700.

Adding to 11616160 its reverse (6161611), we get a palindrome (17777771).

It can be divided in two parts, 1 and 1616160, that added together give a palindrome (1616161).

The spelling of 11616160 in words is "eleven million, six hundred sixteen thousand, one hundred sixty".