9967800 has 96 divisors (see below), whose sum is σ = 31806000. Its totient is φ = 2580480.

The previous prime is 9967781. The next prime is 9967801. The reversal of 9967800 is 87699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21976 + ... + 22424.

Almost surely, 2^9967800 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 9967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903000).

9967800 is an abundant number, since it is smaller than the sum of its proper divisors (21838200).

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

9967800 is a wasteful number, since it uses less digits than its factorization.

9967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9967800 is about 3157.1822880537. The cubic root of 9967800 is about 215.2119777010.

The spelling of 9967800 in words is "nine million, nine hundred sixty-seven thousand, eight hundred".