9976560 has 80 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 2417920.

The previous prime is 9976553. The next prime is 9976591. The reversal of 9976560 is 656799.

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

It is a congruent number.

It is an unprimeable number.

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, 751 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 2^9976560 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 9976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

9976560 is an abundant number, since it is smaller than the sum of its proper divisors (23771280).

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

9976560 is a wasteful number, since it uses less digits than its factorization.

9976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 9976560 is about 3158.5692963745. The cubic root of 9976560 is about 215.2750041436.

It can be divided in two parts, 997 and 6560, that added together give a palindrome (7557).

The spelling of 9976560 in words is "nine million, nine hundred seventy-six thousand, five hundred sixty".