4011984 has 80 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1296000.

The previous prime is 4011979. The next prime is 4011991. The reversal of 4011984 is 4891104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15859 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^4011984 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 4011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4011984 is an abundant number, since it is smaller than the sum of its proper divisors (7862256).

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

4011984 is a wasteful number, since it uses less digits than its factorization.

4011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4011984 is about 2002.9937593512. The cubic root of 4011984 is about 158.8984755944.

The spelling of 4011984 in words is "four million, eleven thousand, nine hundred eighty-four".