9738960 has 320 divisors, whose sum is σ = 41140224. Its totient is φ = 1843200.

The previous prime is 9738947. The next prime is 9738979. The reversal of 9738960 is 698379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314145 + ... + 314175.

Almost surely, 2^9738960 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 9738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112).

9738960 is an abundant number, since it is smaller than the sum of its proper divisors (31401264).

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

9738960 is a wasteful number, since it uses less digits than its factorization.

9738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 9738960 is about 3120.7306836701. The cubic root of 9738960 is about 213.5522708938.

The spelling of 9738960 in words is "nine million, seven hundred thirty-eight thousand, nine hundred sixty".