198379600 has 60 divisors (see below), whose sum is σ = 497352096. Its totient is φ = 75898240.

The previous prime is 198379567. The next prime is 198379603. The reversal of 198379600 is 6973891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198379603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582 + ... + 19981.

Almost surely, 2^198379600 is an apocalyptic number.

198379600 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 198379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248676048).

198379600 is an abundant number, since it is smaller than the sum of its proper divisors (298972496).

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

198379600 is a wasteful number, since it uses less digits than its factorization.

198379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604 (or 21593 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 198379600 is about 14084.7293193728. The cubic root of 198379600 is about 583.2199035685.

The spelling of 198379600 in words is "one hundred ninety-eight million, three hundred seventy-nine thousand, six hundred".