198268900 has 36 divisors (see below), whose sum is σ = 432514852. Its totient is φ = 78888960.

The previous prime is 198268897. The next prime is 198268921. The reversal of 198268900 is 9862891.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33454656 + 164814244 = 5784^2 + 12838^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14164 + ... + 24436.

Almost surely, 2^198268900 is an apocalyptic number.

198268900 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 198268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216257426).

198268900 is an abundant number, since it is smaller than the sum of its proper divisors (234245952).

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

198268900 is a wasteful number, since it uses less digits than its factorization.

198268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 198268900 is about 14080.7989830123. The cubic root of 198268900 is about 583.1114003821. Note that the first 3 decimals are identical.

The spelling of 198268900 in words is "one hundred ninety-eight million, two hundred sixty-eight thousand, nine hundred".