198209664 has 192 divisors, whose sum is σ = 626535000. Its totient is φ = 59867136.

The previous prime is 198209663. The next prime is 198209707. The reversal of 198209664 is 466902891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195776064 + 2433600 = 13992^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (198209663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567762 + ... + 568110.

Almost surely, 2^198209664 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 198209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313267500).

198209664 is an abundant number, since it is smaller than the sum of its proper divisors (428325336).

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

198209664 is a wasteful number, since it uses less digits than its factorization.

198209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 198209664 is about 14078.6953941052. The cubic root of 198209664 is about 583.0533233171.

The spelling of 198209664 in words is "one hundred ninety-eight million, two hundred nine thousand, six hundred sixty-four".