9998144 has 56 divisors (see below), whose sum is σ = 21826728. Its totient is φ = 4515840.

The previous prime is 9998143. The next prime is 9998147. The reversal of 9998144 is 4418999.

It can be written as a sum of positive squares in 4 ways, for example, as 462400 + 9535744 = 680^2 + 3088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9998095 and 9998104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998141) 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, 50654 + ... + 50850.

It is an arithmetic number, because the mean of its divisors is an integer number (389763).

Almost surely, 2^9998144 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 9998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913364).

9998144 is an abundant number, since it is smaller than the sum of its proper divisors (11828584).

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

9998144 is a wasteful number, since it uses less digits than its factorization.

9998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 9998144 is about 3161.9841871837. The cubic root of 9998144 is about 215.4301394092.

The spelling of 9998144 in words is "nine million, nine hundred ninety-eight thousand, one hundred forty-four".