98327200 has 72 divisors (see below), whose sum is σ = 242914140. Its totient is φ = 38860800.

The previous prime is 98327189. The next prime is 98327209. The reversal of 98327200 is 272389.

It can be written as a sum of positive squares in 6 ways, for example, as 18974736 + 79352464 = 4356^2 + 8908^2 .

It is not an unprimeable number, because it can be changed into a prime (98327209) 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 11 ways as a sum of consecutive naturals, for example, 70510 + ... + 71890.

Almost surely, 2^98327200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121457070).

98327200 is an abundant number, since it is smaller than the sum of its proper divisors (144586940).

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

98327200 is a wasteful number, since it uses less digits than its factorization.

98327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 98327200 is about 9916.0072609897. The cubic root of 98327200 is about 461.5561662724.

Adding to 98327200 its reverse (272389), we get a palindrome (98599589).

The spelling of 98327200 in words is "ninety-eight million, three hundred twenty-seven thousand, two hundred".