11787984 has 80 divisors (see below), whose sum is σ = 36456000. Its totient is φ = 3625344.

The previous prime is 11787959. The next prime is 11787991. The reversal of 11787984 is 48978711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4567 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^11787984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11787984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228000).

11787984 is an abundant number, since it is smaller than the sum of its proper divisors (24668016).

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

11787984 is a wasteful number, since it uses less digits than its factorization.

11787984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2117 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 11787984 is about 3433.3633655644. The cubic root of 11787984 is about 227.5865081786.

The spelling of 11787984 in words is "eleven million, seven hundred eighty-seven thousand, nine hundred eighty-four".