9765040 has 40 divisors (see below), whose sum is σ = 23324400. Its totient is φ = 3799296.

The previous prime is 9765037. The next prime is 9765043. The reversal of 9765040 is 405679.

It is an interprime number because it is at equal distance from previous prime (9765037) and next prime (9765043).

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9764993 and 9765011.

It is not an unprimeable number, because it can be changed into a prime (9765043) 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 7 ways as a sum of consecutive naturals, for example, 1311 + ... + 4609.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 2^9765040 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 9765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662200).

9765040 is an abundant number, since it is smaller than the sum of its proper divisors (13559360).

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

9765040 is a wasteful number, since it uses less digits than its factorization.

9765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 9765040 is about 3124.9063985982. The cubic root of 9765040 is about 213.7427251494.

The spelling of 9765040 in words is "nine million, seven hundred sixty-five thousand, forty".