198362304 has 336 divisors, whose sum is σ = 719165440. Its totient is φ = 52462080.

The previous prime is 198362303. The next prime is 198362309. The reversal of 198362304 is 403263891.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198362303) 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, 6398769 + ... + 6398799.

Almost surely, 2^198362304 is an apocalyptic number.

198362304 is a gapful number since it is divisible by the number (14) 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 198362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359582720).

198362304 is an abundant number, since it is smaller than the sum of its proper divisors (520803136).

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

198362304 is a wasteful number, since it uses less digits than its factorization.

198362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 198362304 is about 14084.1153076791. The cubic root of 198362304 is about 583.2029534644.

The spelling of 198362304 in words is "one hundred ninety-eight million, three hundred sixty-two thousand, three hundred four".