9906960 has 80 divisors (see below), whose sum is σ = 35104896. Its totient is φ = 2264064.

The previous prime is 9906943. The next prime is 9906973. The reversal of 9906960 is 696099.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1269 + ... + 4628.

Almost surely, 2^9906960 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 9906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552448).

9906960 is an abundant number, since it is smaller than the sum of its proper divisors (25197936).

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

9906960 is a wasteful number, since it uses less digits than its factorization.

9906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 9906960 is about 3147.5323667915. The cubic root of 9906960 is about 214.7732240204.

The spelling of 9906960 in words is "nine million, nine hundred six thousand, nine hundred sixty".