198642312 has 108 divisors (see below), whose sum is σ = 595286055. Its totient is φ = 59796000.

The previous prime is 198642293. The next prime is 198642319. The reversal of 198642312 is 213246891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

198642312 is a `hidden beast` number, since 1 + 9 + 8 + 642 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99321156 + 99321156 = 9966^2 + 9966^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9966.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (198642319) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1315437 + ... + 1315587.

Almost surely, 2^198642312 is an apocalyptic number.

198642312 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 198642312

198642312 is an abundant number, since it is smaller than the sum of its proper divisors (396643743).

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

198642312 is a wasteful number, since it uses less digits than its factorization.

198642312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 167 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 198642312 is about 14094.0523626103. The cubic root of 198642312 is about 583.4772406496.

The spelling of 198642312 in words is "one hundred ninety-eight million, six hundred forty-two thousand, three hundred twelve".