4083984 has 60 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 1340352.

The previous prime is 4083979. The next prime is 4083997. The reversal of 4083984 is 4893804.

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

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, 11197 + ... + 11555.

It is an arithmetic number, because the mean of its divisors is an integer number (193440).

Almost surely, 2^4083984 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 4083984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

4083984 is an abundant number, since it is smaller than the sum of its proper divisors (7522416).

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

4083984 is a wasteful number, since it uses less digits than its factorization.

4083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4083984 is about 2020.8869339971. The cubic root of 4083984 is about 159.8433884218.

The spelling of 4083984 in words is "four million, eighty-three thousand, nine hundred eighty-four".