198251712 has 140 divisors (see below), whose sum is σ = 593780880. Its totient is φ = 65401344.

The previous prime is 198251659. The next prime is 198251749. The reversal of 198251712 is 217152891.

It is a happy number.

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

Its product of digits (10080) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 865614 + ... + 865842.

It is an arithmetic number, because the mean of its divisors is an integer number (4241292).

Almost surely, 2^198251712 is an apocalyptic number.

198251712 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 198251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296890440).

198251712 is an abundant number, since it is smaller than the sum of its proper divisors (395529168).

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

198251712 is a wasteful number, since it uses less digits than its factorization.

198251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 198251712 is about 14080.1886351000. The cubic root of 198251712 is about 583.0945498517.

The spelling of 198251712 in words is "one hundred ninety-eight million, two hundred fifty-one thousand, seven hundred twelve".