9967780 has 48 divisors (see below), whose sum is σ = 23345280. Its totient is φ = 3552768.

The previous prime is 9967777. The next prime is 9967781. The reversal of 9967780 is 877699.

It is a self number, because there is not a number n which added to its sum of digits gives 9967780.

It is not an unprimeable number, because it can be changed into a prime (9967781) 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, 5689 + ... + 7231.

It is an arithmetic number, because the mean of its divisors is an integer number (486360).

Almost surely, 2^9967780 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 9967780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672640).

9967780 is an abundant number, since it is smaller than the sum of its proper divisors (13377500).

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

9967780 is a wasteful number, since it uses less digits than its factorization.

9967780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 9967780 is about 3157.1791206709. The cubic root of 9967780 is about 215.2118337628.

The spelling of 9967780 in words is "nine million, nine hundred sixty-seven thousand, seven hundred eighty".