96960384 has 96 divisors (see below), whose sum is σ = 295485840. Its totient is φ = 30412800.

The previous prime is 96960377. The next prime is 96960407. The reversal of 96960384 is 48306969.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17109 + ... + 22059.

Almost surely, 2^96960384 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 96960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147742920).

96960384 is an abundant number, since it is smaller than the sum of its proper divisors (198525456).

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

96960384 is a wasteful number, since it uses less digits than its factorization.

96960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 96960384 is about 9846.8463987208. The cubic root of 96960384 is about 459.4075296137.

It can be divided in two parts, 96960 and 384, that added together give a square (97344 = 312²).

The spelling of 96960384 in words is "ninety-six million, nine hundred sixty thousand, three hundred eighty-four".