9956580 has 96 divisors (see below), whose sum is σ = 29611008. Its totient is φ = 2496000.

The previous prime is 9956579. The next prime is 9956587. The reversal of 9956580 is 856599.

It is not an unprimeable number, because it can be changed into a prime (9956587) 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, 98530 + ... + 98630.

It is an arithmetic number, because the mean of its divisors is an integer number (308448).

Almost surely, 2^9956580 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 9956580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504).

9956580 is an abundant number, since it is smaller than the sum of its proper divisors (19654428).

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

9956580 is a wasteful number, since it uses less digits than its factorization.

9956580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 9956580 is about 3155.4048868568. The cubic root of 9956580 is about 215.1311980919.

The spelling of 9956580 in words is "nine million, nine hundred fifty-six thousand, five hundred eighty".