198285120 has 252 divisors, whose sum is σ = 750973860. Its totient is φ = 47984640.

The previous prime is 198285107. The next prime is 198285149. The reversal of 198285120 is 21582891.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 147476736 = 7128^2 + 12144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 348196 + ... + 348764.

It is an arithmetic number, because the mean of its divisors is an integer number (2980055).

Almost surely, 2^198285120 is an apocalyptic number.

198285120 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 198285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375486930).

198285120 is an abundant number, since it is smaller than the sum of its proper divisors (552688740).

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

198285120 is a wasteful number, since it uses less digits than its factorization.

198285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198285120 is about 14081.3749328679. The cubic root of 198285120 is about 583.1273010252.

The spelling of 198285120 in words is "one hundred ninety-eight million, two hundred eighty-five thousand, one hundred twenty".