11987584 has 64 divisors (see below), whose sum is σ = 28935360. Its totient is φ = 4829184.

The previous prime is 11987579. The next prime is 11987609. The reversal of 11987584 is 48578911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11987584.

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 7 ways as a sum of consecutive naturals, for example, 14839 + ... + 15625.

It is an arithmetic number, because the mean of its divisors is an integer number (452115).

Almost surely, 2^11987584 is an apocalyptic number.

11987584 is a gapful number since it is divisible by the number (14) 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 11987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467680).

11987584 is an abundant number, since it is smaller than the sum of its proper divisors (16947776).

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

11987584 is an equidigital number, since it uses as much as digits as its factorization.

11987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its digits is 80640, while the sum is 43.

The square root of 11987584 is about 3462.3090561069. The cubic root of 11987584 is about 228.8638614180.

The spelling of 11987584 in words is "eleven million, nine hundred eighty-seven thousand, five hundred eighty-four".