4068584 has 64 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1693440.

The previous prime is 4068569. The next prime is 4068587. The reversal of 4068584 is 4858604.

4068584 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4068587) 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, 57269 + ... + 57339.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^4068584 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 4068584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

4068584 is an abundant number, since it is smaller than the sum of its proper divisors (5003416).

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

4068584 is a wasteful number, since it uses less digits than its factorization.

4068584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 4068584 is about 2017.0731270829. The cubic root of 4068584 is about 159.6422213951.

The spelling of 4068584 in words is "four million, sixty-eight thousand, five hundred eighty-four".