9967720 has 64 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 3373056.

The previous prime is 9967703. The next prime is 9967721. The reversal of 9967720 is 277699.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9967721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26977 + ... + 27343.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 2^9967720 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 9967720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

9967720 is an abundant number, since it is smaller than the sum of its proper divisors (15998360).

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

9967720 is a wasteful number, since it uses less digits than its factorization.

9967720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 9967720 is about 3157.1696185033. The cubic root of 9967720 is about 215.2114019470.

The spelling of 9967720 in words is "nine million, nine hundred sixty-seven thousand, seven hundred twenty".