11187360 has 144 divisors (see below), whose sum is σ = 40511016. Its totient is φ = 2801664.

The previous prime is 11187347. The next prime is 11187401. The reversal of 11187360 is 6378111.

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 138384 = 3324^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24252 + ... + 24708.

It is a vampire number, since it can be written as 1371 ⋅ 8160 (with its own digits).

Almost surely, 2^11187360 is an apocalyptic number.

11187360 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 11187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255508).

11187360 is an abundant number, since it is smaller than the sum of its proper divisors (29323656).

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

11187360 is a wasteful number, since it uses less digits than its factorization.

11187360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11187360 is about 3344.7511118168. The cubic root of 11187360 is about 223.6535887080.

Subtracting from 11187360 its reverse (6378111), we obtain a square (4809249 = 2193²).

The spelling of 11187360 in words is "eleven million, one hundred eighty-seven thousand, three hundred sixty".