9696640 has 64 divisors (see below), whose sum is σ = 23562000. Its totient is φ = 3815424.

The previous prime is 9696637. The next prime is 9696649. The reversal of 9696640 is 466969.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9696593 and 9696602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9696649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69691 + ... + 69829.

Almost surely, 2^9696640 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 9696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11781000).

9696640 is an abundant number, since it is smaller than the sum of its proper divisors (13865360).

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

9696640 is a wasteful number, since it uses less digits than its factorization.

9696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

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

The square root of 9696640 is about 3113.9428382679. The cubic root of 9696640 is about 213.2424960492.

The spelling of 9696640 in words is "nine million, six hundred ninety-six thousand, six hundred forty".