198624016 has 40 divisors (see below), whose sum is σ = 399360600. Its totient is φ = 95699072.

The previous prime is 198623983. The next prime is 198624047. The reversal of 198624016 is 610426891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8294400 + 190329616 = 2880^2 + 13796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389970 + ... + 390478.

It is an arithmetic number, because the mean of its divisors is an integer number (9984015).

Almost surely, 2^198624016 is an apocalyptic number.

198624016 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 198624016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199680300).

198624016 is an abundant number, since it is smaller than the sum of its proper divisors (200736584).

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

198624016 is an frugal number, since it uses more digits than its factorization.

198624016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 198624016 is about 14093.4032795489. The cubic root of 198624016 is about 583.4593263270.

The spelling of 198624016 in words is "one hundred ninety-eight million, six hundred twenty-four thousand, sixteen".