198216216 has 96 divisors (see below), whose sum is σ = 591364800. Its totient is φ = 59478720.

The previous prime is 198216203. The next prime is 198216251. The reversal of 198216216 is 612612891.

198216216 is a `hidden beast` number, since 1 + 9 + 8 + 21 + 621 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83575 + ... + 85913.

It is an arithmetic number, because the mean of its divisors is an integer number (6160050).

Almost surely, 2^198216216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198216216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295682400).

198216216 is an abundant number, since it is smaller than the sum of its proper divisors (393148584).

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

198216216 is a wasteful number, since it uses less digits than its factorization.

198216216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2462 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 198216216 is about 14078.9280841973. The cubic root of 198216216 is about 583.0597476982.

The spelling of 198216216 in words is "one hundred ninety-eight million, two hundred sixteen thousand, two hundred sixteen".