9948960 has 288 divisors, whose sum is σ = 41368320. Its totient is φ = 2225664.

The previous prime is 9948947. The next prime is 9948971. The reversal of 9948960 is 698499.

9948960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211657 + ... + 211703.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^9948960 is an apocalyptic number.

9948960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

9948960 is an abundant number, since it is smaller than the sum of its proper divisors (31419360).

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

9948960 is a wasteful number, since it uses less digits than its factorization.

9948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9948960 is about 3154.1972037271. The cubic root of 9948960 is about 215.0763024649.

The spelling of 9948960 in words is "nine million, nine hundred forty-eight thousand, nine hundred sixty".