198594816 has 288 divisors, whose sum is σ = 667554048. Its totient is φ = 51118080.

The previous prime is 198594791. The next prime is 198594817. The reversal of 198594816 is 618495891.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (198594817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3747046 + ... + 3747098.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896).

Almost surely, 2^198594816 is an apocalyptic number.

198594816 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 198594816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333777024).

198594816 is an abundant number, since it is smaller than the sum of its proper divisors (468959232).

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

198594816 is a wasteful number, since it uses less digits than its factorization.

198594816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The square root of 198594816 is about 14092.3672958095. The cubic root of 198594816 is about 583.4307331964.

The spelling of 198594816 in words is "one hundred ninety-eight million, five hundred ninety-four thousand, eight hundred sixteen".