198601200 has 480 divisors, whose sum is σ = 841374720. Its totient is φ = 43545600.

The previous prime is 198601141. The next prime is 198601213. The reversal of 198601200 is 2106891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2797165 + ... + 2797235.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 2^198601200 is an apocalyptic number.

198601200 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 198601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687360).

198601200 is an abundant number, since it is smaller than the sum of its proper divisors (642773520).

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

198601200 is a wasteful number, since it uses less digits than its factorization.

198601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 198601200 is about 14092.5937995814. The cubic root of 198601200 is about 583.4369847559.

The spelling of 198601200 in words is "one hundred ninety-eight million, six hundred one thousand, two hundred".