9688560 has 160 divisors (see below), whose sum is σ = 35235840. Its totient is φ = 2156544.

The previous prime is 9688531. The next prime is 9688571. The reversal of 9688560 is 658869.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122601 + ... + 122679.

It is an arithmetic number, because the mean of its divisors is an integer number (220224).

Almost surely, 2^9688560 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 9688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617920).

9688560 is an abundant number, since it is smaller than the sum of its proper divisors (25547280).

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

9688560 is a wasteful number, since it uses less digits than its factorization.

9688560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 9688560 is about 3112.6451773371. The cubic root of 9688560 is about 213.1832494728.

The spelling of 9688560 in words is "nine million, six hundred eighty-eight thousand, five hundred sixty".