98608800 has 144 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 26035200.

The previous prime is 98608781. The next prime is 98608817. The reversal of 98608800 is 880689.

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 23 ways as a sum of consecutive naturals, for example, 434287 + ... + 434513.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^98608800 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 98608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

98608800 is an abundant number, since it is smaller than the sum of its proper divisors (225557952).

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

98608800 is a wasteful number, since it uses less digits than its factorization.

98608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 98608800 is about 9930.1963726807. The cubic root of 98608800 is about 461.9963643574.

The spelling of 98608800 in words is "ninety-eight million, six hundred eight thousand, eight hundred".