96478800 has 120 divisors (see below), whose sum is σ = 337195680. Its totient is φ = 23385600.

The previous prime is 96478793. The next prime is 96478831. The reversal of 96478800 is 887469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9546 + ... + 16854.

It is an arithmetic number, because the mean of its divisors is an integer number (2809964).

Almost surely, 2^96478800 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 96478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168597840).

96478800 is an abundant number, since it is smaller than the sum of its proper divisors (240716880).

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

96478800 is a wasteful number, since it uses less digits than its factorization.

96478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 96478800 is about 9822.3622413348. The cubic root of 96478800 is about 458.6456699345.

The spelling of 96478800 in words is "ninety-six million, four hundred seventy-eight thousand, eight hundred".