9657648 has 240 divisors, whose sum is σ = 36830976. Its totient is φ = 2280960.

The previous prime is 9657619. The next prime is 9657653. The reversal of 9657648 is 8467569.

9657648 is a nontrivial binomial coefficient, being equal to C(67, 5).

Its product of digits (362880) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144111 + ... + 144177.

Almost surely, 2^9657648 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 9657648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488).

9657648 is an abundant number, since it is smaller than the sum of its proper divisors (27173328).

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

9657648 is a wasteful number, since it uses less digits than its factorization.

9657648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 9657648 is about 3107.6756587521. The cubic root of 9657648 is about 212.9562827689.

The spelling of 9657648 in words is "nine million, six hundred fifty-seven thousand, six hundred forty-eight".