9960672 has 48 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 3212160.

The previous prime is 9960667. The next prime is 9960673. The reversal of 9960672 is 2760699.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9960672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1303 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^9960672 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 9960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

9960672 is an abundant number, since it is smaller than the sum of its proper divisors (17037600).

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

9960672 is a wasteful number, since it uses less digits than its factorization.

9960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3383 counting only the distinct ones).

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

The square root of 9960672 is about 3156.0532314902. The cubic root of 9960672 is about 215.1606659176.

The spelling of 9960672 in words is "nine million, nine hundred sixty thousand, six hundred seventy-two".