98868800 has 84 divisors (see below), whose sum is σ = 247511316. Its totient is φ = 38860800.

The previous prime is 98868793. The next prime is 98868811. The reversal of 98868800 is 886889.

It can be written as a sum of positive squares in 6 ways, for example, as 52301824 + 46566976 = 7232^2 + 6824^2 .

It is a super-2 number, since 2×98868800² = 19550079226880000, which contains 22 as substring.

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, 97094 + ... + 98106.

Almost surely, 2^98868800 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 98868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123755658).

98868800 is an abundant number, since it is smaller than the sum of its proper divisors (148642516).

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

98868800 is a wasteful number, since it uses less digits than its factorization.

98868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 98868800 is about 9943.2791371861. The cubic root of 98868800 is about 462.4020537658.

The spelling of 98868800 in words is "ninety-eight million, eight hundred sixty-eight thousand, eight hundred".