198416120 has 64 divisors (see below), whose sum is σ = 526694400. Its totient is φ = 65831040.

The previous prime is 198416087. The next prime is 198416123. The reversal of 198416120 is 21614891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198416123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2750 + ... + 20109.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^198416120 is an apocalyptic number.

198416120 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 198416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

198416120 is an abundant number, since it is smaller than the sum of its proper divisors (328278280).

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

198416120 is a wasteful number, since it uses less digits than its factorization.

198416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22908 (or 22904 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 198416120 is about 14086.0256992524. The cubic root of 198416120 is about 583.2556899834.

The spelling of 198416120 in words is "one hundred ninety-eight million, four hundred sixteen thousand, one hundred twenty".