9764640 has 72 divisors (see below), whose sum is σ = 33326748. Its totient is φ = 2603520.

The previous prime is 9764621. The next prime is 9764641. The reversal of 9764640 is 464679.

9764640 is a `hidden beast` number, since 9 + 7 + 6 + 4 + 640 = 666.

9764640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 104976 = 3108^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 9764595 and 9764604.

It is not an unprimeable number, because it can be changed into a prime (9764641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1951 + ... + 4830.

Almost surely, 2^9764640 is an apocalyptic number.

9764640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9764640 is an abundant number, since it is smaller than the sum of its proper divisors (23562108).

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

9764640 is a wasteful number, since it uses less digits than its factorization.

9764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9764640 is about 3124.8423960258. The cubic root of 9764640 is about 213.7398066340.

It can be divided in two parts, 9764 and 640, that added together give a square (10404 = 102²).

The spelling of 9764640 in words is "nine million, seven hundred sixty-four thousand, six hundred forty".