9967880 has 64 divisors (see below), whose sum is σ = 25023600. Its totient is φ = 3548160.

The previous prime is 9967823. The next prime is 9967883. The reversal of 9967880 is 887699.

It can be written as a sum of positive squares in 8 ways, for example, as 4024036 + 5943844 = 2006^2 + 2438^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14750 + ... + 15410.

Almost surely, 2^9967880 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 9967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511800).

9967880 is an abundant number, since it is smaller than the sum of its proper divisors (15055720).

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

9967880 is a wasteful number, since it uses less digits than its factorization.

9967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 9967880 is about 3157.1949575533. The cubic root of 9967880 is about 215.2125534520.

The spelling of 9967880 in words is "nine million, nine hundred sixty-seven thousand, eight hundred eighty".