198149600 has 216 divisors, whose sum is σ = 561057840. Its totient is φ = 68147200.

The previous prime is 198149579. The next prime is 198149621. The reversal of 198149600 is 6941891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198149579) and next prime (198149621).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2226356 + ... + 2226444.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^198149600 is an apocalyptic number.

198149600 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 198149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280528920).

198149600 is an abundant number, since it is smaller than the sum of its proper divisors (362908240).

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

198149600 is a wasteful number, since it uses less digits than its factorization.

198149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 198149600 is about 14076.5620802808. The cubic root of 198149600 is about 582.9944226356.

The spelling of 198149600 in words is "one hundred ninety-eight million, one hundred forty-nine thousand, six hundred".