198694400 has 180 divisors, whose sum is σ = 531636732. Its totient is φ = 73543680.

The previous prime is 198694373. The next prime is 198694417. The reversal of 198694400 is 4496891.

198694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4620779 + ... + 4620821.

Almost surely, 2^198694400 is an apocalyptic number.

198694400 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 198694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265818366).

198694400 is an abundant number, since it is smaller than the sum of its proper divisors (332942332).

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

198694400 is an equidigital number, since it uses as much as digits as its factorization.

198694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 198694400 is about 14095.9001131535. The cubic root of 198694400 is about 583.5282360059.

The spelling of 198694400 in words is "one hundred ninety-eight million, six hundred ninety-four thousand, four hundred".