9579648 has 128 divisors (see below), whose sum is σ = 29131200. Its totient is φ = 2764800.

The previous prime is 9579643. The next prime is 9579649. The reversal of 9579648 is 8469759.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9579597 and 9579606.

It is not an unprimeable number, because it can be changed into a prime (9579641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94798 + ... + 94898.

Almost surely, 2^9579648 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 9579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565600).

9579648 is an abundant number, since it is smaller than the sum of its proper divisors (19551552).

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

9579648 is a wasteful number, since it uses less digits than its factorization.

9579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 9579648 is about 3095.1006445672. The cubic root of 9579648 is about 212.3814185000.

The spelling of 9579648 in words is "nine million, five hundred seventy-nine thousand, six hundred forty-eight".