4085984 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1548288.

The previous prime is 4085981. The next prime is 4085987. The reversal of 4085984 is 4895804.

4085984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4085981) and next prime (4085987).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110414 + ... + 110450.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^4085984 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 4085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

4085984 is an abundant number, since it is smaller than the sum of its proper divisors (6256096).

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

4085984 is a wasteful number, since it uses less digits than its factorization.

4085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 4085984 is about 2021.3817056657. The cubic root of 4085984 is about 159.8694768855.

The spelling of 4085984 in words is "four million, eighty-five thousand, nine hundred eighty-four".