198086400 has 324 divisors, whose sum is σ = 749596120. Its totient is φ = 49766400.

The previous prime is 198086393. The next prime is 198086453. The reversal of 198086400 is 4680891.

It is a happy number.

198086400 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1094310 + ... + 1094490.

Almost surely, 2^198086400 is an apocalyptic number.

198086400 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 198086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374798060).

198086400 is an abundant number, since it is smaller than the sum of its proper divisors (551509720).

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

198086400 is a wasteful number, since it uses less digits than its factorization.

198086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198086400 is about 14074.3170349399. The cubic root of 198086400 is about 582.9324338395.

The spelling of 198086400 in words is "one hundred ninety-eight million, eighty-six thousand, four hundred".