96384000 has 176 divisors, whose sum is σ = 321886656. Its totient is φ = 25600000.

The previous prime is 96383971. The next prime is 96384011. The reversal of 96384000 is 48369.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383875 + ... + 384125.

Almost surely, 2^96384000 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 96384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328).

96384000 is an abundant number, since it is smaller than the sum of its proper divisors (225502656).

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

96384000 is a wasteful number, since it uses less digits than its factorization.

96384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96384000 is about 9817.5353322512. The cubic root of 96384000 is about 458.4953990691.

The spelling of 96384000 in words is "ninety-six million, three hundred eighty-four thousand".