11841984 has 224 divisors, whose sum is σ = 43891200. Its totient is φ = 3041280.

The previous prime is 11841971. The next prime is 11842001. The reversal of 11841984 is 48914811.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9216) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133012 + ... + 133100.

Almost surely, 2^11841984 is an apocalyptic number.

11841984 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 11841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

11841984 is an abundant number, since it is smaller than the sum of its proper divisors (32049216).

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

11841984 is a wasteful number, since it uses less digits than its factorization.

11841984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11841984 is about 3441.2183888850. The cubic root of 11841984 is about 227.9334986108.

The spelling of 11841984 in words is "eleven million, eight hundred forty-one thousand, nine hundred eighty-four".