96096000 has 576 divisors, whose sum is σ = 428553216. Its totient is φ = 18432000.

The previous prime is 96095983. The next prime is 96096037. The reversal of 96096000 is 69069.

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 63 ways as a sum of consecutive naturals, for example, 7391994 + ... + 7392006.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^96096000 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 96096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

96096000 is an abundant number, since it is smaller than the sum of its proper divisors (332457216).

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

96096000 is a wasteful number, since it uses less digits than its factorization.

96096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 96096000 is about 9802.8567264854. The cubic root of 96096000 is about 458.0382747391.

It can be divided in two parts, 960 and 96000, that multiplied together give a square (92160000 = 9600²).

The spelling of 96096000 in words is "ninety-six million, ninety-six thousand".