9976960 has 128 divisors (see below), whose sum is σ = 29082240. Its totient is φ = 3194880.

The previous prime is 9976937. The next prime is 9977021. The reversal of 9976960 is 696799.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 9976960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76095 + ... + 76225.

It is an arithmetic number, because the mean of its divisors is an integer number (227205).

Almost surely, 2^9976960 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 9976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541120).

9976960 is an abundant number, since it is smaller than the sum of its proper divisors (19105280).

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

9976960 is a wasteful number, since it uses less digits than its factorization.

9976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 9976960 is about 3158.6326155474. The cubic root of 9976960 is about 215.2778811824.

The spelling of 9976960 in words is "nine million, nine hundred seventy-six thousand, nine hundred sixty".