9760240 has 80 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 3225600.

The previous prime is 9760229. The next prime is 9760241. The reversal of 9760240 is 420679.

9760240 = 291² + 292² + ... + 377².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 9760199 and 9760208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9760241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15940 + ... + 16540.

It is an arithmetic number, because the mean of its divisors is an integer number (335916).

Almost surely, 2^9760240 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 9760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436640).

9760240 is an abundant number, since it is smaller than the sum of its proper divisors (17113040).

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

9760240 is a wasteful number, since it uses less digits than its factorization.

9760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 9760240 is about 3124.1382811905. The cubic root of 9760240 is about 213.7076977035.

It can be divided in two parts, 9760 and 240, that added together give a 4-th power (10000 = 10⁴).

The spelling of 9760240 in words is "nine million, seven hundred sixty thousand, two hundred forty".