9845760 has 88 divisors (see below), whose sum is σ = 31540176. Its totient is φ = 2621440.

The previous prime is 9845749. The next prime is 9845767. The reversal of 9845760 is 675489.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845767) 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, 15040 + ... + 15680.

Almost surely, 2^9845760 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 9845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770088).

9845760 is an abundant number, since it is smaller than the sum of its proper divisors (21694416).

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

9845760 is a wasteful number, since it uses less digits than its factorization.

9845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 9845760 is about 3137.7954044201. The cubic root of 9845760 is about 214.3300581245.

The spelling of 9845760 in words is "nine million, eight hundred forty-five thousand, seven hundred sixty".