198819216 has 120 divisors (see below), whose sum is σ = 593348184. Its totient is φ = 61931520.

The previous prime is 198819197. The next prime is 198819239. The reversal of 198819216 is 612918891.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 144000000 = 7404^2 + 12000^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589800 + ... + 590136.

Almost surely, 2^198819216 is an apocalyptic number.

198819216 is a gapful number since it is divisible by the number (16) 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 198819216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296674092).

198819216 is an abundant number, since it is smaller than the sum of its proper divisors (394528968).

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

198819216 is a wasteful number, since it uses less digits than its factorization.

198819216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 600 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 198819216 is about 14100.3268047234. The cubic root of 198819216 is about 583.6503975007.

It can be divided in two parts, 19881 and 9216, that multiplied together give a square (183223296 = 13536²).

The spelling of 198819216 in words is "one hundred ninety-eight million, eight hundred nineteen thousand, two hundred sixteen".