198636400 has 60 divisors (see below), whose sum is σ = 480415432. Its totient is φ = 78923520.

The previous prime is 198636391. The next prime is 198636401. The reversal of 198636400 is 4636891.

It is a self number, because there is not a number n which added to its sum of digits gives 198636400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198636401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61219 + ... + 64381.

Almost surely, 2^198636400 is an apocalyptic number.

198636400 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 198636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240207716).

198636400 is an abundant number, since it is smaller than the sum of its proper divisors (281779032).

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

198636400 is a wasteful number, since it uses less digits than its factorization.

198636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 198636400 is about 14093.8426271901. The cubic root of 198636400 is about 583.4714521016.

The spelling of 198636400 in words is "one hundred ninety-eight million, six hundred thirty-six thousand, four hundred".