987984 has 40 divisors (see below), whose sum is σ = 2837120. Its totient is φ = 329184.

The previous prime is 987983. The next prime is 987991. The reversal of 987984 is 489789.

It is a super-2 number, since 2×987984² = 1952224768512, which contains 22 as substring.

Its product of digits (145152) is a multiple of the sum of its prime factors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (70928).

2⁹⁸⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

987984 is an abundant number, since it is smaller than the sum of its proper divisors (1849136).

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

987984 is a wasteful number, since it uses less digits than its factorization.

987984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2292 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 987984 is about 993.9738427142. The cubic root of 987984 is about 99.5978516012.

The spelling of 987984 in words is "nine hundred eighty-seven thousand, nine hundred eighty-four".