11163180 has 72 divisors (see below), whose sum is σ = 36369648. Its totient is φ = 2550912.

The previous prime is 11163167. The next prime is 11163197. The reversal of 11163180 is 8136111.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 1042 + ... + 4838.

It is an arithmetic number, because the mean of its divisors is an integer number (505134).

Almost surely, 2^11163180 is an apocalyptic number.

11163180 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 11163180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184824).

11163180 is an abundant number, since it is smaller than the sum of its proper divisors (25206468).

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

11163180 is a wasteful number, since it uses less digits than its factorization.

11163180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11163180 is about 3341.1345378479. The cubic root of 11163180 is about 223.4923399223.

Adding to 11163180 its reverse (8136111), we get a palindrome (19299291).

The spelling of 11163180 in words is "eleven million, one hundred sixty-three thousand, one hundred eighty".