9876580 has 96 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 3100032.

The previous prime is 9876577. The next prime is 9876589. The reversal of 9876580 is 856789.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9876589) 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 31 ways as a sum of consecutive naturals, for example, 124981 + ... + 125059.

It is an arithmetic number, because the mean of its divisors is an integer number (268800).

Almost surely, 2^9876580 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 9876580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902400).

9876580 is an abundant number, since it is smaller than the sum of its proper divisors (15928220).

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

9876580 is a wasteful number, since it uses less digits than its factorization.

9876580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 9876580 is about 3142.7026585409. The cubic root of 9876580 is about 214.5534629823.

The spelling of 9876580 in words is "nine million, eight hundred seventy-six thousand, five hundred eighty".