9865680 has 160 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 2304000.

The previous prime is 9865651. The next prime is 9865711. The reversal of 9865680 is 865689.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97630 + ... + 97730.

Almost surely, 2^9865680 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 9865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

9865680 is an abundant number, since it is smaller than the sum of its proper divisors (24739248).

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

9865680 is a wasteful number, since it uses less digits than its factorization.

9865680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

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

The square root of 9865680 is about 3140.9680036575. The cubic root of 9865680 is about 214.4745053675.

It can be divided in two parts, 986 and 5680, that added together give a palindrome (6666).

The spelling of 9865680 in words is "nine million, eight hundred sixty-five thousand, six hundred eighty".