987424 has 24 divisors (see below), whose sum is σ = 1980720. Its totient is φ = 484416.

The previous prime is 987391. The next prime is 987433. The reversal of 987424 is 424789.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 9 + 8⁵ + 4² + 7⁷ + 2¹⁷ + 4² .

It is a self number, because there is not a number n which added to its sum of digits gives 987424.

It is an unprimeable number.

987424 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 1627 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (82530).

2⁹⁸⁷⁴²⁴ 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 987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990360).

987424 is an abundant number, since it is smaller than the sum of its proper divisors (993296).

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

987424 is a wasteful number, since it uses less digits than its factorization.

987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 987424 is about 993.6921052318. The cubic root of 987424 is about 99.5790303321.

The spelling of 987424 in words is "nine hundred eighty-seven thousand, four hundred twenty-four".