96448800 has 144 divisors (see below), whose sum is σ = 358852032. Its totient is φ = 22041600.

The previous prime is 96448799. The next prime is 96448801. The reversal of 96448800 is 884469.

It is an interprime number because it is at equal distance from previous prime (96448799) and next prime (96448801).

It is not an unprimeable number, because it can be changed into a prime (96448801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13930 + ... + 19670.

It is an arithmetic number, because the mean of its divisors is an integer number (2492028).

Almost surely, 2^96448800 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 96448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179426016).

96448800 is an abundant number, since it is smaller than the sum of its proper divisors (262403232).

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

96448800 is a wasteful number, since it uses less digits than its factorization.

96448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 96448800 is about 9820.8349950501. The cubic root of 96448800 is about 458.5981265139.

The spelling of 96448800 in words is "ninety-six million, four hundred forty-eight thousand, eight hundred".