96804800 has 84 divisors (see below), whose sum is σ = 252282960. Its totient is φ = 36433920.

The previous prime is 96804793. The next prime is 96804821. The reversal of 96804800 is 840869.

It is a congruent number.

It is an unprimeable number.

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, 25421 + ... + 28979.

Almost surely, 2^96804800 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 96804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126141480).

96804800 is an abundant number, since it is smaller than the sum of its proper divisors (155478160).

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

96804800 is a wasteful number, since it uses less digits than its factorization.

96804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 96804800 is about 9838.9430326636. The cubic root of 96804800 is about 459.1616741314.

The spelling of 96804800 in words is "ninety-six million, eight hundred four thousand, eight hundred".