9677640 has 128 divisors (see below), whose sum is σ = 34110720. Its totient is φ = 2150400.

The previous prime is 9677621. The next prime is 9677651. The reversal of 9677640 is 467769.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34300 + ... + 34580.

It is an arithmetic number, because the mean of its divisors is an integer number (266490).

Almost surely, 2^9677640 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 9677640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055360).

9677640 is an abundant number, since it is smaller than the sum of its proper divisors (24433080).

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

9677640 is a wasteful number, since it uses less digits than its factorization.

9677640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 9677640 is about 3110.8905477371. The cubic root of 9677640 is about 213.1031262398.

The spelling of 9677640 in words is "nine million, six hundred seventy-seven thousand, six hundred forty".