9867760 has 80 divisors (see below), whose sum is σ = 26712576. Its totient is φ = 3320064.

The previous prime is 9867731. The next prime is 9867761. The reversal of 9867760 is 677689.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9867761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37389 + ... + 37651.

Almost surely, 2^9867760 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 9867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288).

9867760 is an abundant number, since it is smaller than the sum of its proper divisors (16844816).

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

9867760 is a wasteful number, since it uses less digits than its factorization.

9867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 9867760 is about 3141.2990943239. The cubic root of 9867760 is about 214.4895769971.

The spelling of 9867760 in words is "nine million, eight hundred sixty-seven thousand, seven hundred sixty".