9765648 has 60 divisors (see below), whose sum is σ = 27734460. Its totient is φ = 3207168.

The previous prime is 9765643. The next prime is 9765653. The reversal of 9765648 is 8465679.

It is an interprime number because it is at equal distance from previous prime (9765643) and next prime (9765653).

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 7551504 = 1488^2 + 2748^2 .

It is a super-3 number, since 3×9765648³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9765643) 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 11 ways as a sum of consecutive naturals, for example, 10048 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (462241).

Almost surely, 2^9765648 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 9765648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867230).

9765648 is an abundant number, since it is smaller than the sum of its proper divisors (17968812).

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

9765648 is a wasteful number, since it uses less digits than its factorization.

9765648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 9765648 is about 3125.0036799978. The cubic root of 9765648 is about 213.7471611401.

The spelling of 9765648 in words is "nine million, seven hundred sixty-five thousand, six hundred forty-eight".