984900 has 108 divisors (see below), whose sum is σ = 3364368. Its totient is φ = 221760.

The previous prime is 984881. The next prime is 984911. The reversal of 984900 is 9489.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

984900 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 35 ways as a sum of consecutive naturals, for example, 14667 + ... + 14733.

2⁹⁸⁴⁹⁰⁰ 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 984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682184).

984900 is an abundant number, since it is smaller than the sum of its proper divisors (2379468).

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

984900 is a wasteful number, since it uses less digits than its factorization.

984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 984900 is about 992.4212815130. The cubic root of 984900 is about 99.4941117531.

The spelling of 984900 in words is "nine hundred eighty-four thousand, nine hundred".