98816800 has 72 divisors (see below), whose sum is σ = 243148500. Its totient is φ = 39214080.

The previous prime is 98816797. The next prime is 98816807. The reversal of 98816800 is 861889.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19749136 + 79067664 = 4444^2 + 8892^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (98816807) 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, 118786 + ... + 119614.

Almost surely, 2^98816800 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 98816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121574250).

98816800 is an abundant number, since it is smaller than the sum of its proper divisors (144331700).

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

98816800 is a wasteful number, since it uses less digits than its factorization.

98816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 98816800 is about 9940.6639617281. The cubic root of 98816800 is about 462.3209728333.

The spelling of 98816800 in words is "ninety-eight million, eight hundred sixteen thousand, eight hundred".