998112 has 48 divisors (see below), whose sum is σ = 2700432. Its totient is φ = 322560.

The previous prime is 998111. The next prime is 998117. The reversal of 998112 is 211899.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 998112.

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 998112.

It is not an unprimeable number, because it can be changed into a prime (998111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3412 + ... + 3692.

It is an arithmetic number, because the mean of its divisors is an integer number (56259).

2⁹⁹⁸¹¹² 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 998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350216).

998112 is an abundant number, since it is smaller than the sum of its proper divisors (1702320).

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

998112 is a wasteful number, since it uses less digits than its factorization.

998112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 998112 is about 999.0555540109. The cubic root of 998112 is about 99.9370270190.

The spelling of 998112 in words is "nine hundred ninety-eight thousand, one hundred twelve".