98307200 has 96 divisors (see below), whose sum is σ = 250936320. Its totient is φ = 38016000.

The previous prime is 98307199. The next prime is 98307241. The reversal of 98307200 is 270389.

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, 98705 + ... + 99695.

It is an arithmetic number, because the mean of its divisors is an integer number (2613920).

Almost surely, 2^98307200 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 98307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468160).

98307200 is an abundant number, since it is smaller than the sum of its proper divisors (152629120).

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

98307200 is a wasteful number, since it uses less digits than its factorization.

98307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 98307200 is about 9914.9987392838. The cubic root of 98307200 is about 461.5248702550.

Adding to 98307200 its reverse (270389), we get a palindrome (98577589).

The spelling of 98307200 in words is "ninety-eight million, three hundred seven thousand, two hundred".