198687216 has 120 divisors (see below), whose sum is σ = 635376000. Its totient is φ = 52386048.

The previous prime is 198687197. The next prime is 198687217. The reversal of 198687216 is 612786891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198687217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55035 + ... + 58533.

It is an arithmetic number, because the mean of its divisors is an integer number (5294800).

Almost surely, 2^198687216 is an apocalyptic number.

198687216 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 198687216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317688000).

198687216 is an abundant number, since it is smaller than the sum of its proper divisors (436688784).

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

198687216 is a wasteful number, since it uses less digits than its factorization.

198687216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3524 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 198687216 is about 14095.6452849807. The cubic root of 198687216 is about 583.5212032337.

The spelling of 198687216 in words is "one hundred ninety-eight million, six hundred eighty-seven thousand, two hundred sixteen".