4887584 has 48 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 2177280.

The previous prime is 4887581. The next prime is 4887587. The reversal of 4887584 is 4857884.

It is an interprime number because it is at equal distance from previous prime (4887581) and next prime (4887587).

It is not an unprimeable number, because it can be changed into a prime (4887581) 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 7 ways as a sum of consecutive naturals, for example, 12707 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^4887584 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 4887584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

4887584 is an abundant number, since it is smaller than the sum of its proper divisors (5837536).

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

4887584 is a wasteful number, since it uses less digits than its factorization.

4887584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 286720, while the sum is 44.

The square root of 4887584 is about 2210.7880947753. The cubic root of 4887584 is about 169.7063442461.

The spelling of 4887584 in words is "four million, eight hundred eighty-seven thousand, five hundred eighty-four".