9868160 has 64 divisors (see below), whose sum is σ = 25006320. Its totient is φ = 3710976.

The previous prime is 9868151. The next prime is 9868169. The reversal of 9868160 is 618689.

It is an interprime number because it is at equal distance from previous prime (9868151) and next prime (9868169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9868169) 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, 10427 + ... + 11333.

Almost surely, 2^9868160 is an apocalyptic number.

9868160 is the 1814-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503160).

9868160 is an abundant number, since it is smaller than the sum of its proper divisors (15138160).

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

9868160 is a wasteful number, since it uses less digits than its factorization.

9868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 9868160 is about 3141.3627616052. The cubic root of 9868160 is about 214.4924751446.

The spelling of 9868160 in words is "nine million, eight hundred sixty-eight thousand, one hundred sixty".