198875520 has 256 divisors, whose sum is σ = 746884800. Its totient is φ = 49840128.

The previous prime is 198875513. The next prime is 198875563. The reversal of 198875520 is 25578891.

It is a happy number.

198875520 is a `hidden beast` number, since 1 + 98 + 8 + 7 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293422 + ... + 294098.

Almost surely, 2^198875520 is an apocalyptic number.

198875520 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 198875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373442400).

198875520 is an abundant number, since it is smaller than the sum of its proper divisors (548009280).

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

198875520 is a wasteful number, since it uses less digits than its factorization.

198875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 198875520 is about 14102.3232128611. The cubic root of 198875520 is about 583.7054873306.

The spelling of 198875520 in words is "one hundred ninety-eight million, eight hundred seventy-five thousand, five hundred twenty".