9648960 has 168 divisors, whose sum is σ = 33710880. Its totient is φ = 2331648.

The previous prime is 9648953. The next prime is 9648997. The reversal of 9648960 is 698469.

It is a super-3 number, since 3×9648960³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419509 + ... + 419531.

It is an arithmetic number, because the mean of its divisors is an integer number (200660).

Almost surely, 2^9648960 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 9648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855440).

9648960 is an abundant number, since it is smaller than the sum of its proper divisors (24061920).

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

9648960 is a wasteful number, since it uses less digits than its factorization.

9648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

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

The square root of 9648960 is about 3106.2775149687. The cubic root of 9648960 is about 212.8924052678.

The spelling of 9648960 in words is "nine million, six hundred forty-eight thousand, nine hundred sixty".