198855120 has 240 divisors, whose sum is σ = 679742208. Its totient is φ = 48046080.

The previous prime is 198855109. The next prime is 198855133. The reversal of 198855120 is 21558891.

198855120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 3259890 + ... + 3259950.

Almost surely, 2^198855120 is an apocalyptic number.

198855120 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 198855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339871104).

198855120 is an abundant number, since it is smaller than the sum of its proper divisors (480887088).

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

198855120 is a wasteful number, since it uses less digits than its factorization.

198855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 198855120 is about 14101.5999092302. The cubic root of 198855120 is about 583.6855284486.

The spelling of 198855120 in words is "one hundred ninety-eight million, eight hundred fifty-five thousand, one hundred twenty".