198364800 has 96 divisors (see below), whose sum is σ = 653395680. Its totient is φ = 52894720.

The previous prime is 198364787. The next prime is 198364801. The reversal of 198364800 is 8463891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198364801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732 + ... + 19931.

It is an arithmetic number, because the mean of its divisors is an integer number (6806205).

Almost surely, 2^198364800 is an apocalyptic number.

198364800 is a gapful number since it is divisible by the number (10) 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 198364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326697840).

198364800 is an abundant number, since it is smaller than the sum of its proper divisors (455030880).

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

198364800 is a wasteful number, since it uses less digits than its factorization.

198364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20690 (or 20673 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 198364800 is about 14084.2039178649. The cubic root of 198364800 is about 583.2053996087.

The spelling of 198364800 in words is "one hundred ninety-eight million, three hundred sixty-four thousand, eight hundred".