9876960 has 144 divisors (see below), whose sum is σ = 35577360. Its totient is φ = 2495232.

The previous prime is 9876947. The next prime is 9876961. The reversal of 9876960 is 696789.

9876960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9876961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519831 + ... + 519849.

It is an arithmetic number, because the mean of its divisors is an integer number (247065).

Almost surely, 2^9876960 is an apocalyptic number.

9876960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788680).

9876960 is an abundant number, since it is smaller than the sum of its proper divisors (25700400).

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

9876960 is a wasteful number, since it uses less digits than its factorization.

9876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9876960 is about 3142.7631154766. The cubic root of 9876960 is about 214.5562145849.

The spelling of 9876960 in words is "nine million, eight hundred seventy-six thousand, nine hundred sixty".