198973320 has 384 divisors, whose sum is σ = 792892800. Its totient is φ = 39481344.

The previous prime is 198973303. The next prime is 198973337. The reversal of 198973320 is 23379891.

198973320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198973303) and next prime (198973337).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1452292 + ... + 1452428.

It is an arithmetic number, because the mean of its divisors is an integer number (2064825).

Almost surely, 2^198973320 is an apocalyptic number.

198973320 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 198973320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396446400).

198973320 is an abundant number, since it is smaller than the sum of its proper divisors (593919480).

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

198973320 is a wasteful number, since it uses less digits than its factorization.

198973320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 198973320 is about 14105.7903004405. The cubic root of 198973320 is about 583.8011536072.

The spelling of 198973320 in words is "one hundred ninety-eight million, nine hundred seventy-three thousand, three hundred twenty".