198355920 has 240 divisors, whose sum is σ = 726703488. Its totient is φ = 44620800.

The previous prime is 198355903. The next prime is 198355961. The reversal of 198355920 is 29553891.

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

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, 1187677 + ... + 1187843.

Almost surely, 2^198355920 is an apocalyptic number.

198355920 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 198355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363351744).

198355920 is an abundant number, since it is smaller than the sum of its proper divisors (528347568).

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

198355920 is a wasteful number, since it uses less digits than its factorization.

198355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 198355920 is about 14083.8886675520. Note that the first 3 decimals coincide. The cubic root of 198355920 is about 583.1966968865.

The spelling of 198355920 in words is "one hundred ninety-eight million, three hundred fifty-five thousand, nine hundred twenty".