11585140 has 48 divisors (see below), whose sum is σ = 28167552. Its totient is φ = 3920256.

The previous prime is 11585129. The next prime is 11585153. The reversal of 11585140 is 4158511.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11122 + ... + 12118.

It is an arithmetic number, because the mean of its divisors is an integer number (586824).

Almost surely, 2^11585140 is an apocalyptic number.

11585140 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 11585140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083776).

11585140 is an abundant number, since it is smaller than the sum of its proper divisors (16582412).

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

11585140 is a wasteful number, since it uses less digits than its factorization.

11585140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 11585140 is about 3403.6950509703. The cubic root of 11585140 is about 226.2735351930.

The spelling of 11585140 in words is "eleven million, five hundred eighty-five thousand, one hundred forty".