9936960 has 112 divisors (see below), whose sum is σ = 34454592. Its totient is φ = 2406400.

The previous prime is 9936923. The next prime is 9936973. The reversal of 9936960 is 696399.

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, 10090 + ... + 11030.

Almost surely, 2^9936960 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 9936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227296).

9936960 is an abundant number, since it is smaller than the sum of its proper divisors (24517632).

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

9936960 is a wasteful number, since it uses less digits than its factorization.

9936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 9936960 is about 3152.2944024948. The cubic root of 9936960 is about 214.9897958020.

The spelling of 9936960 in words is "nine million, nine hundred thirty-six thousand, nine hundred sixty".