9975680 has 128 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 3317760.

The previous prime is 9975643. The next prime is 9975683. The reversal of 9975680 is 865799.

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

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91466 + ... + 91574.

Almost surely, 2^9975680 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 9975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

9975680 is an abundant number, since it is smaller than the sum of its proper divisors (18298720).

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

9975680 is a wasteful number, since it uses less digits than its factorization.

9975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 9975680 is about 3158.4299897259. The cubic root of 9975680 is about 215.2686743875.

The spelling of 9975680 in words is "nine million, nine hundred seventy-five thousand, six hundred eighty".