9707648 has 32 divisors (see below), whose sum is σ = 19507500. Its totient is φ = 4811776.

The previous prime is 9707641. The next prime is 9707657. The reversal of 9707648 is 8467079.

It can be written as a sum of positive squares in 2 ways, for example, as 9684544 + 23104 = 3112^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (9707641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18818 + ... + 19326.

Almost surely, 2^9707648 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 9707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753750).

9707648 is an abundant number, since it is smaller than the sum of its proper divisors (9799852).

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

9707648 is a wasteful number, since it uses less digits than its factorization.

9707648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 9707648 is about 3115.7098709604. The cubic root of 9707648 is about 213.3231592370.

The spelling of 9707648 in words is "nine million, seven hundred seven thousand, six hundred forty-eight".