11216160 has 72 divisors (see below), whose sum is σ = 38280060. Its totient is φ = 2990592.

The previous prime is 11216147. The next prime is 11216171. The reversal of 11216160 is 6161211.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 7056 = 3348^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455 + ... + 5334.

Almost surely, 2^11216160 is an apocalyptic number.

11216160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11216160 is an abundant number, since it is smaller than the sum of its proper divisors (27063900).

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

11216160 is a wasteful number, since it uses less digits than its factorization.

11216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11216160 is about 3349.0535976601. The cubic root of 11216160 is about 223.8453439258.

Adding to 11216160 its reverse (6161211), we get a palindrome (17377371).

The spelling of 11216160 in words is "eleven million, two hundred sixteen thousand, one hundred sixty".