9956760 has 128 divisors (see below), whose sum is σ = 34387200. Its totient is φ = 2280960.

The previous prime is 9956753. The next prime is 9956761. The reversal of 9956760 is 676599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9956761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24882 + ... + 25278.

It is an arithmetic number, because the mean of its divisors is an integer number (268650).

Almost surely, 2^9956760 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 9956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193600).

9956760 is an abundant number, since it is smaller than the sum of its proper divisors (24430440).

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

9956760 is a wasteful number, since it uses less digits than its factorization.

9956760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

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

The square root of 9956760 is about 3155.4334092166. The cubic root of 9956760 is about 215.1324945003.

The spelling of 9956760 in words is "nine million, nine hundred fifty-six thousand, seven hundred sixty".