198020000 has 60 divisors (see below), whose sum is σ = 487208106. Its totient is φ = 79200000.

The previous prime is 198019979. The next prime is 198020021. The reversal of 198020000 is 20891.

198020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198019979) and next prime (198020021).

It can be written as a sum of positive squares in 5 ways, for example, as 30162064 + 167857936 = 5492^2 + 12956^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15050 + ... + 24950.

Almost surely, 2^198020000 is an apocalyptic number.

198020000 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 198020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243604053).

198020000 is an abundant number, since it is smaller than the sum of its proper divisors (289188106).

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

198020000 is an frugal number, since it uses more digits than its factorization.

198020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 198020000 is about 14071.9579305795. The cubic root of 198020000 is about 582.8672921650.

Adding to 198020000 its reverse (20891), we get a palindrome (198040891).

The spelling of 198020000 in words is "one hundred ninety-eight million, twenty thousand".