11586240 has 168 divisors, whose sum is σ = 41605200. Its totient is φ = 3068928.

The previous prime is 11586233. The next prime is 11586241. The reversal of 11586240 is 4268511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11586241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77686 + ... + 77834.

It is an arithmetic number, because the mean of its divisors is an integer number (247650).

Almost surely, 2^11586240 is an apocalyptic number.

11586240 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 11586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600).

11586240 is an abundant number, since it is smaller than the sum of its proper divisors (30018960).

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

11586240 is an equidigital number, since it uses as much as digits as its factorization.

11586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11586240 is about 3403.8566362290. The cubic root of 11586240 is about 226.2806964649.

The spelling of 11586240 in words is "eleven million, five hundred eighty-six thousand, two hundred forty".