96908960 has 48 divisors (see below), whose sum is σ = 232111656. Its totient is φ = 38227968.

The previous prime is 96908951. The next prime is 96908983. The reversal of 96908960 is 6980969.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96275344 + 633616 = 9812^2 + 796^2 .

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 7 ways as a sum of consecutive naturals, for example, 7532 + ... + 15828.

Almost surely, 2^96908960 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 96908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116055828).

96908960 is an abundant number, since it is smaller than the sum of its proper divisors (135202696).

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

96908960 is a wasteful number, since it uses less digits than its factorization.

96908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 96908960 is about 9844.2348610748. The cubic root of 96908960 is about 459.3262979822.

The spelling of 96908960 in words is "ninety-six million, nine hundred eight thousand, nine hundred sixty".