4686084 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1244160.

The previous prime is 4686083. The next prime is 4686113. The reversal of 4686084 is 4806864.

4686084 is a `hidden beast` number, since 46 + 8 + 608 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (4686083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151149 + ... + 151179.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 2^4686084 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 4686084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4686084 is an abundant number, since it is smaller than the sum of its proper divisors (9990396).

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

4686084 is a wasteful number, since it uses less digits than its factorization.

4686084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4686084 is about 2164.7364735690. The cubic root of 4686084 is about 167.3413839646.

The spelling of 4686084 in words is "four million, six hundred eighty-six thousand, eighty-four".