11141160 has 64 divisors (see below), whose sum is σ = 33652800. Its totient is φ = 2950656.

The previous prime is 11141159. The next prime is 11141167. The reversal of 11141160 is 6114111.

It is a super-2 number, since 2×11141160² = 248250892291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11141167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27036 + ... + 27444.

It is an arithmetic number, because the mean of its divisors is an integer number (525825).

Almost surely, 2^11141160 is an apocalyptic number.

11141160 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 11141160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826400).

11141160 is an abundant number, since it is smaller than the sum of its proper divisors (22511640).

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

11141160 is a wasteful number, since it uses less digits than its factorization.

11141160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 11141160 is about 3337.8376233724. The cubic root of 11141160 is about 223.3452927929.

Adding to 11141160 its reverse (6114111), we get a palindrome (17255271).

The spelling of 11141160 in words is "eleven million, one hundred forty-one thousand, one hundred sixty".