198593820 has 72 divisors (see below), whose sum is σ = 603801744. Its totient is φ = 52835328.

The previous prime is 198593803. The next prime is 198593831. The reversal of 198593820 is 28395891.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97452 + ... + 99468.

Almost surely, 2^198593820 is an apocalyptic number.

198593820 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 198593820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301900872).

198593820 is an abundant number, since it is smaller than the sum of its proper divisors (405207924).

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

198593820 is a wasteful number, since it uses less digits than its factorization.

198593820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 198593820 is about 14092.3319574867. The cubic root of 198593820 is about 583.4297578471.

The spelling of 198593820 in words is "one hundred ninety-eight million, five hundred ninety-three thousand, eight hundred twenty".