198429616 has 160 divisors (see below), whose sum is σ = 517824000. Its totient is φ = 72817920.

The previous prime is 198429607. The next prime is 198429641. The reversal of 198429616 is 616924891.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146906 + ... + 1147078.

It is an arithmetic number, because the mean of its divisors is an integer number (3236400).

Almost surely, 2^198429616 is an apocalyptic number.

198429616 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 198429616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258912000).

198429616 is an abundant number, since it is smaller than the sum of its proper divisors (319394384).

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

198429616 is a wasteful number, since it uses less digits than its factorization.

198429616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 198429616 is about 14086.5047474524. The cubic root of 198429616 is about 583.2689137751.

The spelling of 198429616 in words is "one hundred ninety-eight million, four hundred twenty-nine thousand, six hundred sixteen".