9685120 has 64 divisors (see below), whose sum is σ = 23837400. Its totient is φ = 3760128.

The previous prime is 9685063. The next prime is 9685127. The reversal of 9685120 is 215869.

It can be written as a sum of positive squares in 4 ways, for example, as 9684544 + 576 = 3112^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9685127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23476 + ... + 23884.

Almost surely, 2^9685120 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 9685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918700).

9685120 is an abundant number, since it is smaller than the sum of its proper divisors (14152280).

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

9685120 is a wasteful number, since it uses less digits than its factorization.

9685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 9685120 is about 3112.0925436111. The cubic root of 9685120 is about 213.1580156854.

The spelling of 9685120 in words is "nine million, six hundred eighty-five thousand, one hundred twenty".