4785984 has 84 divisors (see below), whose sum is σ = 15691104. Its totient is φ = 1366272.

The previous prime is 4785961. The next prime is 4786007. The reversal of 4785984 is 4895874.

It is an interprime number because it is at equal distance from previous prime (4785961) and next prime (4786007).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3439 + ... + 4625.

Almost surely, 2^4785984 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 4785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552).

4785984 is an abundant number, since it is smaller than the sum of its proper divisors (10905120).

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

4785984 is a wasteful number, since it uses less digits than its factorization.

4785984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4785984 is about 2187.6891918186. The cubic root of 4785984 is about 168.5221847652.

The spelling of 4785984 in words is "four million, seven hundred eighty-five thousand, nine hundred eighty-four".