9600460096 has 56 divisors (see below), whose sum is σ = 19420290344. Its totient is φ = 4707901440.

The previous prime is 9600460081. The next prime is 9600460139. The reversal of 9600460096 is 6900640069.

It can be written as a sum of positive squares in 4 ways, for example, as 9000000 + 9591460096 = 3000^2 + 97936^2 .

It is a super-4 number, since 4×9600460096⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839956 + ... + 851308.

It is an arithmetic number, because the mean of its divisors is an integer number (346790899).

Almost surely, 2^9600460096 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 9600460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710145172).

9600460096 is an abundant number, since it is smaller than the sum of its proper divisors (9819830248).

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

9600460096 is a wasteful number, since it uses less digits than its factorization.

9600460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 9600460096 is about 97981.9376007639. The cubic root of 9600460096 is about 2125.3510909448.

The spelling of 9600460096 in words is "nine billion, six hundred million, four hundred sixty thousand, ninety-six".