198520 has 32 divisors (see below), whose sum is σ = 511200. Its totient is φ = 67968.

The previous prime is 198503. The next prime is 198529. The reversal of 198520 is 25891.

198520 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 a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198529) by changing a digit.

198520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (15975).

2¹⁹⁸⁵²⁰ is an apocalyptic number.

198520 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 198520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255600).

198520 is an abundant number, since it is smaller than the sum of its proper divisors (312680).

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

198520 is a wasteful number, since it uses less digits than its factorization.

198520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 198520 is about 445.5558326405. Note that the first 3 decimals coincide. The cubic root of 198520 is about 58.3357459320.

The spelling of 198520 in words is "one hundred ninety-eight thousand, five hundred twenty".