4987584 has 84 divisors (see below), whose sum is σ = 16351504. Its totient is φ = 1423872.

The previous prime is 4987571. The next prime is 4987589. The reversal of 4987584 is 4857894.

4987584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×4987584³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4987589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3414 + ... + 4650.

Almost surely, 2^4987584 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 4987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175752).

4987584 is an abundant number, since it is smaller than the sum of its proper divisors (11363920).

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

4987584 is a wasteful number, since it uses less digits than its factorization.

4987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1249 counting only the distinct ones).

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

The square root of 4987584 is about 2233.2899498274. The cubic root of 4987584 is about 170.8559369390.

The spelling of 4987584 in words is "four million, nine hundred eighty-seven thousand, five hundred eighty-four".