96408960 has 128 divisors (see below), whose sum is σ = 310284000. Its totient is φ = 25460736.

The previous prime is 96408953. The next prime is 96408997. The reversal of 96408960 is 6980469.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285912 + ... + 286248.

Almost surely, 2^96408960 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 96408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155142000).

96408960 is an abundant number, since it is smaller than the sum of its proper divisors (213875040).

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

96408960 is a wasteful number, since it uses less digits than its factorization.

96408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 96408960 is about 9818.8064447773. The cubic root of 96408960 is about 458.5349736093.

The spelling of 96408960 in words is "ninety-six million, four hundred eight thousand, nine hundred sixty".