9672960 has 144 divisors (see below), whose sum is σ = 33848640. Its totient is φ = 2334720.

The previous prime is 9672941. The next prime is 9672973. The reversal of 9672960 is 692769.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 42126 + ... + 42354.

It is an arithmetic number, because the mean of its divisors is an integer number (235060).

Almost surely, 2^9672960 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 9672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924320).

9672960 is an abundant number, since it is smaller than the sum of its proper divisors (24175680).

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

9672960 is a wasteful number, since it uses less digits than its factorization.

9672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 9672960 is about 3110.1382605923. The cubic root of 9672960 is about 213.0687692603.

The spelling of 9672960 in words is "nine million, six hundred seventy-two thousand, nine hundred sixty".