198945600 has 336 divisors, whose sum is σ = 774045696. Its totient is φ = 43776000.

The previous prime is 198945589. The next prime is 198945619. The reversal of 198945600 is 6549891.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041505 + ... + 1041695.

Almost surely, 2^198945600 is an apocalyptic number.

198945600 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 198945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387022848).

198945600 is an abundant number, since it is smaller than the sum of its proper divisors (575100096).

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

198945600 is a wasteful number, since it uses less digits than its factorization.

198945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 198945600 is about 14104.8076909967. The cubic root of 198945600 is about 583.7740415643.

The spelling of 198945600 in words is "one hundred ninety-eight million, nine hundred forty-five thousand, six hundred".