198208512 has 176 divisors, whose sum is σ = 601326720. Its totient is φ = 64475136.

The previous prime is 198208453. The next prime is 198208523. The reversal of 198208512 is 215802891.

It is a super-2 number, since 2×198208512² = 78573228458508288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852363 + ... + 1852469.

Almost surely, 2^198208512 is an apocalyptic number.

198208512 is a gapful number since it is divisible by the number (12) 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 198208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300663360).

198208512 is an abundant number, since it is smaller than the sum of its proper divisors (403118208).

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

198208512 is a wasteful number, since it uses less digits than its factorization.

198208512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198208512 is about 14078.6544811640. The cubic root of 198208512 is about 583.0521937410.

The spelling of 198208512 in words is "one hundred ninety-eight million, two hundred eight thousand, five hundred twelve".