9696960 has 336 divisors, whose sum is σ = 42159936. Its totient is φ = 1990656.

The previous prime is 9696937. The next prime is 9696979. The reversal of 9696960 is 696969.

9696960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262062 + ... + 262098.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 2^9696960 is an apocalyptic number.

9696960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968).

9696960 is an abundant number, since it is smaller than the sum of its proper divisors (32462976).

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

9696960 is a wasteful number, since it uses less digits than its factorization.

9696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9696960 is about 3113.9942196478. The cubic root of 9696960 is about 213.2448417706.

The spelling of 9696960 in words is "nine million, six hundred ninety-six thousand, nine hundred sixty".