198561600 has 126 divisors (see below), whose sum is σ = 705785990. Its totient is φ = 52945920.

The previous prime is 198561593. The next prime is 198561611. The reversal of 198561600 is 6165891.

198561600 is a `hidden beast` number, since 1 + 98 + 561 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 55711296 + 142850304 = 7464^2 + 11952^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7506 + ... + 21294.

Almost surely, 2^198561600 is an apocalyptic number.

198561600 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 198561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352892995).

198561600 is an abundant number, since it is smaller than the sum of its proper divisors (507224390).

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

198561600 is a wasteful number, since it uses less digits than its factorization.

198561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 198561600 is about 14091.1887362280. The cubic root of 198561600 is about 583.3982041235.

The spelling of 198561600 in words is "one hundred ninety-eight million, five hundred sixty-one thousand, six hundred".