9638960 has 40 divisors (see below), whose sum is σ = 22739616. Its totient is φ = 3799040.

The previous prime is 9638957. The next prime is 9639011. The reversal of 9638960 is 698369.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4832 + ... + 6528.

Almost surely, 2^9638960 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 9638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369808).

9638960 is an abundant number, since it is smaller than the sum of its proper divisors (13100656).

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

9638960 is a wasteful number, since it uses less digits than its factorization.

9638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 9638960 is about 3104.6674540118. The cubic root of 9638960 is about 212.8188339559.

The spelling of 9638960 in words is "nine million, six hundred thirty-eight thousand, nine hundred sixty".