96005960 has 64 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 37253376.

The previous prime is 96005947. The next prime is 96005963. The reversal of 96005960 is 6950069.

It is a self number, because there is not a number n which added to its sum of digits gives 96005960.

It is not an unprimeable number, because it can be changed into a prime (96005963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419126 + ... + 419354.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2^96005960 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 96005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

96005960 is an abundant number, since it is smaller than the sum of its proper divisors (126560440).

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

96005960 is a wasteful number, since it uses less digits than its factorization.

96005960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 96005960 is about 9798.2631113887. The cubic root of 96005960 is about 457.8951725154.

The spelling of 96005960 in words is "ninety-six million, five thousand, nine hundred sixty".