11887584 has 24 divisors (see below), whose sum is σ = 31205160. Its totient is φ = 3962496.

The previous prime is 11887583. The next prime is 11887591. The reversal of 11887584 is 48578811.

11887584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887583) 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, 61819 + ... + 62010.

It is an arithmetic number, because the mean of its divisors is an integer number (1300215).

Almost surely, 2^11887584 is an apocalyptic number.

It is an amenable number.

11887584 is an abundant number, since it is smaller than the sum of its proper divisors (19317576).

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

11887584 is a wasteful number, since it uses less digits than its factorization.

11887584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123842 (or 123834 counting only the distinct ones).

The product of its digits is 71680, while the sum is 42.

The square root of 11887584 is about 3447.8375831817. The cubic root of 11887584 is about 228.2256921849.

The spelling of 11887584 in words is "eleven million, eight hundred eighty-seven thousand, five hundred eighty-four".