9627648 has 48 divisors (see below), whose sum is σ = 25683840. Its totient is φ = 3207168.

The previous prime is 9627613. The next prime is 9627649. The reversal of 9627648 is 8467269.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 9⁷ + 6⁶ + 2¹⁹ + 7 + 6⁶ + 4¹¹ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (9627649) 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 3 ways as a sum of consecutive naturals, for example, 5361 + ... + 6927.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^9627648 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 9627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

9627648 is an abundant number, since it is smaller than the sum of its proper divisors (16056192).

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

9627648 is a wasteful number, since it uses less digits than its factorization.

9627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1572 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 9627648 is about 3102.8451459910. The cubic root of 9627648 is about 212.7355487254.

The spelling of 9627648 in words is "nine million, six hundred twenty-seven thousand, six hundred forty-eight".