9531648 has 144 divisors (see below), whose sum is σ = 32376960. Its totient is φ = 2709504.

The previous prime is 9531631. The next prime is 9531661. The reversal of 9531648 is 8461359.

9531648 is a `hidden beast` number, since 9 + 5 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 48286 + ... + 48482.

It is an arithmetic number, because the mean of its divisors is an integer number (224840).

Almost surely, 2^9531648 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 9531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188480).

9531648 is an abundant number, since it is smaller than the sum of its proper divisors (22845312).

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

9531648 is a wasteful number, since it uses less digits than its factorization.

9531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 9531648 is about 3087.3367163301. The cubic root of 9531648 is about 212.0261033480.

It can be divided in two parts, 953 and 1648, that added together give a square (2601 = 51²).

The spelling of 9531648 in words is "nine million, five hundred thirty-one thousand, six hundred forty-eight".