198264312 has 48 divisors (see below), whose sum is σ = 537956640. Its totient is φ = 65966208.

The previous prime is 198264299. The next prime is 198264331. The reversal of 198264312 is 213462891.

198264312 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 643 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42193 + ... + 46655.

It is an arithmetic number, because the mean of its divisors is an integer number (11207430).

Almost surely, 2^198264312 is an apocalyptic number.

198264312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198264312 is an abundant number, since it is smaller than the sum of its proper divisors (339692328).

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

198264312 is a wasteful number, since it uses less digits than its factorization.

198264312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5085 counting only the distinct ones).

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

The square root of 198264312 is about 14080.6360651783. The cubic root of 198264312 is about 583.1069025583.

The spelling of 198264312 in words is "one hundred ninety-eight million, two hundred sixty-four thousand, three hundred twelve".