198160000 has 80 divisors (see below), whose sum is σ = 493506090. Its totient is φ = 79232000.

The previous prime is 198159961. The next prime is 198160003. The reversal of 198160000 is 61891.

It can be written as a sum of positive squares in 5 ways, for example, as 2383936 + 195776064 = 1544^2 + 13992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (198160003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78762 + ... + 81238.

Almost surely, 2^198160000 is an apocalyptic number.

198160000 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 198160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246753045).

198160000 is an abundant number, since it is smaller than the sum of its proper divisors (295346090).

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

198160000 is an frugal number, since it uses more digits than its factorization.

198160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 198160000 is about 14076.9314838142. The cubic root of 198160000 is about 583.0046220606.

The spelling of 198160000 in words is "one hundred ninety-eight million, one hundred sixty thousand".