987584 has 28 divisors (see below), whose sum is σ = 2112264. Its totient is φ = 455424.

The previous prime is 987559. The next prime is 987587. The reversal of 987584 is 485789.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987584.

It is not an unprimeable number, because it can be changed into a prime (987587) by changing a digit.

987584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (75438).

2⁹⁸⁷⁵⁸⁴ 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 987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056132).

987584 is an abundant number, since it is smaller than the sum of its proper divisors (1124680).

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

987584 is a wasteful number, since it uses less digits than its factorization.

987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1202 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 987584 is about 993.7726098057. The cubic root of 987584 is about 99.5844085636.

The spelling of 987584 in words is "nine hundred eighty-seven thousand, five hundred eighty-four".