11587360 has 24 divisors (see below), whose sum is σ = 27375516. Its totient is φ = 4634880.

The previous prime is 11587349. The next prime is 11587361. The reversal of 11587360 is 6378511.

It can be written as a sum of positive squares in 2 ways, for example, as 11587216 + 144 = 3404^2 + 12^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11587361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36051 + ... + 36370.

Almost surely, 2^11587360 is an apocalyptic number.

11587360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11587360 is an abundant number, since it is smaller than the sum of its proper divisors (15788156).

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

11587360 is an equidigital number, since it uses as much as digits as its factorization.

11587360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72436 (or 72428 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 11587360 is about 3404.0211515207. The cubic root of 11587360 is about 226.2879874760.

The spelling of 11587360 in words is "eleven million, five hundred eighty-seven thousand, three hundred sixty".