998368200 has 192 divisors, whose sum is σ = 3456028800. Its totient is φ = 264902400.

The previous prime is 998368187. The next prime is 998368201. The reversal of 998368200 is 2863899.

998368200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (998368201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581885 + ... + 1582515.

It is an arithmetic number, because the mean of its divisors is an integer number (18000150).

Almost surely, 2^998368200 is an apocalyptic number.

998368200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728014400).

998368200 is an abundant number, since it is smaller than the sum of its proper divisors (2457660600).

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

998368200 is a wasteful number, since it uses less digits than its factorization.

998368200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 998368200 is about 31596.9650441304. The cubic root of 998368200 is about 999.4557705347.

The spelling of 998368200 in words is "nine hundred ninety-eight million, three hundred sixty-eight thousand, two hundred".