198636160 has 64 divisors (see below), whose sum is σ = 502825320. Its totient is φ = 74776576.

The previous prime is 198636101. The next prime is 198636161. The reversal of 198636160 is 61636891.

198636160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 166100544 + 32535616 = 12888^2 + 5704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (198636161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1752 + ... + 20008.

Almost surely, 2^198636160 is an apocalyptic number.

198636160 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 198636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251412660).

198636160 is an abundant number, since it is smaller than the sum of its proper divisors (304189160).

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

198636160 is a wasteful number, since it uses less digits than its factorization.

198636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18293 (or 18281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 198636160 is about 14093.8341128310. The cubic root of 198636160 is about 583.4712171108.

The spelling of 198636160 in words is "one hundred ninety-eight million, six hundred thirty-six thousand, one hundred sixty".