198237312 has 384 divisors, whose sum is σ = 736619520. Its totient is φ = 49766400.

The previous prime is 198237311. The next prime is 198237329. The reversal of 198237312 is 213732891.

It is a tau number, because it is divible by the number of its divisors (384).

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 (198237311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249762 + ... + 3249822.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2^198237312 is an apocalyptic number.

198237312 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 198237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368309760).

198237312 is an abundant number, since it is smaller than the sum of its proper divisors (538382208).

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

198237312 is a wasteful number, since it uses less digits than its factorization.

198237312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 198237312 is about 14079.6772690286. The cubic root of 198237312 is about 583.0804318319.

The spelling of 198237312 in words is "one hundred ninety-eight million, two hundred thirty-seven thousand, three hundred twelve".