11505984 has 84 divisors (see below), whose sum is σ = 35442144. Its totient is φ = 3284736.

The previous prime is 11505973. The next prime is 11505997. The reversal of 11505984 is 48950511.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8797 + ... + 10019.

Almost surely, 2^11505984 is an apocalyptic number.

11505984 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 11505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721072).

11505984 is an abundant number, since it is smaller than the sum of its proper divisors (23936160).

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

11505984 is a wasteful number, since it uses less digits than its factorization.

11505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 11505984 is about 3392.0471694833. The cubic root of 11505984 is about 225.7570155863.

The spelling of 11505984 in words is "eleven million, five hundred five thousand, nine hundred eighty-four".