98804800 has 84 divisors (see below), whose sum is σ = 249842020. Its totient is φ = 38430720.

The previous prime is 98804753. The next prime is 98804819. The reversal of 98804800 is 840889.

It can be written as a sum of positive squares in 6 ways, for example, as 1032256 + 97772544 = 1016^2 + 9888^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 98804800.

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 11 ways as a sum of consecutive naturals, for example, 58366 + ... + 60034.

Almost surely, 2^98804800 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 98804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124921010).

98804800 is an abundant number, since it is smaller than the sum of its proper divisors (151037220).

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

98804800 is a wasteful number, since it uses less digits than its factorization.

98804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 98804800 is about 9940.0603619898. The cubic root of 98804800 is about 462.3022578096.

The spelling of 98804800 in words is "ninety-eight million, eight hundred four thousand, eight hundred".