198290820 has 192 divisors, whose sum is σ = 713502720. Its totient is φ = 39992832.

The previous prime is 198290819. The next prime is 198290831. The reversal of 198290820 is 28092891.

198290820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124791 + ... + 126369.

It is an arithmetic number, because the mean of its divisors is an integer number (3716160).

Almost surely, 2^198290820 is an apocalyptic number.

198290820 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 198290820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356751360).

198290820 is an abundant number, since it is smaller than the sum of its proper divisors (515211900).

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

198290820 is a wasteful number, since it uses less digits than its factorization.

198290820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 198290820 is about 14081.5773264219. The cubic root of 198290820 is about 583.1328885915.

The spelling of 198290820 in words is "one hundred ninety-eight million, two hundred ninety thousand, eight hundred twenty".