9948672 has 120 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 3096576.

The previous prime is 9948643. The next prime is 9948677. The reversal of 9948672 is 2768499.

It is a happy number.

Its product of digits (217728) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9948677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78273 + ... + 78399.

Almost surely, 2^9948672 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 9948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

9948672 is an abundant number, since it is smaller than the sum of its proper divisors (20692224).

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

9948672 is a wasteful number, since it uses less digits than its factorization.

9948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9948672 is about 3154.1515499418. The cubic root of 9948672 is about 215.0742271199.

The spelling of 9948672 in words is "nine million, nine hundred forty-eight thousand, six hundred seventy-two".