198332064 has 240 divisors, whose sum is σ = 706926528. Its totient is φ = 53250048.

The previous prime is 198332053. The next prime is 198332087. The reversal of 198332064 is 460233891.

It is a super-2 number, since 2×198332064² = 78671215221000192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 308127 + ... + 308769.

Almost surely, 2^198332064 is an apocalyptic number.

198332064 is a gapful number since it is divisible by the number (14) 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 198332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353463264).

198332064 is an abundant number, since it is smaller than the sum of its proper divisors (508594464).

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

198332064 is a wasteful number, since it uses less digits than its factorization.

198332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 198332064 is about 14083.0417169019. The cubic root of 198332064 is about 583.1733158547.

The spelling of 198332064 in words is "one hundred ninety-eight million, three hundred thirty-two thousand, sixty-four".