4065984 has 112 divisors (see below), whose sum is σ = 12943840. Its totient is φ = 1244160.

The previous prime is 4065983. The next prime is 4065989. The reversal of 4065984 is 4895604.

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

It is not an unprimeable number, because it can be changed into a prime (4065983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22374 + ... + 22554.

It is an arithmetic number, because the mean of its divisors is an integer number (115570).

Almost surely, 2^4065984 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 4065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471920).

4065984 is an abundant number, since it is smaller than the sum of its proper divisors (8877856).

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

4065984 is a wasteful number, since it uses less digits than its factorization.

4065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4065984 is about 2016.4285258843. The cubic root of 4065984 is about 159.6082080690.

The spelling of 4065984 in words is "four million, sixty-five thousand, nine hundred eighty-four".