198545904 has 100 divisors (see below), whose sum is σ = 577954080. Its totient is φ = 65802240.

The previous prime is 198545887. The next prime is 198545923. The reversal of 198545904 is 409545891.

198545904 is a `hidden beast` number, since 1 + 9 + 8 + 54 + 590 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198545904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309424 + ... + 310064.

Almost surely, 2^198545904 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 198545904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288977040).

198545904 is an abundant number, since it is smaller than the sum of its proper divisors (379408176).

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

198545904 is a wasteful number, since it uses less digits than its factorization.

198545904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 198545904 is about 14090.6317814355. The cubic root of 198545904 is about 583.3828314642.

The spelling of 198545904 in words is "one hundred ninety-eight million, five hundred forty-five thousand, nine hundred four".