984800 has 36 divisors (see below), whose sum is σ = 2406096. Its totient is φ = 393600.

The previous prime is 984761. The next prime is 984817. The reversal of 984800 is 8489.

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 984800.

It is an unprimeable number.

984800 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 5 ways as a sum of consecutive naturals, for example, 185 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (66836).

2⁹⁸⁴⁸⁰⁰ 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 984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048).

984800 is an abundant number, since it is smaller than the sum of its proper divisors (1421296).

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

984800 is a wasteful number, since it uses less digits than its factorization.

984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 984800 is about 992.3708984044. The cubic root of 984800 is about 99.4907443222.

The spelling of 984800 in words is "nine hundred eighty-four thousand, eight hundred".