198481920 has 384 divisors, whose sum is σ = 792529920. Its totient is φ = 41287680.

The previous prime is 198481909. The next prime is 198481931. The reversal of 198481920 is 29184891.

It is an interprime number because it is at equal distance from previous prime (198481909) and next prime (198481931).

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 2795485 + ... + 2795555.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^198481920 is an apocalyptic number.

198481920 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 198481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

198481920 is an abundant number, since it is smaller than the sum of its proper divisors (594048000).

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

198481920 is a wasteful number, since it uses less digits than its factorization.

198481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 198481920 is about 14088.3611538035. The cubic root of 198481920 is about 583.3201571627.

The spelling of 198481920 in words is "one hundred ninety-eight million, four hundred eighty-one thousand, nine hundred twenty".