9967776 has 144 divisors (see below), whose sum is σ = 32979744. Its totient is φ = 2612736.

The previous prime is 9967759. The next prime is 9967777. The reversal of 9967776 is 6777699.

It is not an unprimeable number, because it can be changed into a prime (9967777) 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 23 ways as a sum of consecutive naturals, for example, 61071 + ... + 61233.

It is an arithmetic number, because the mean of its divisors is an integer number (229026).

Almost surely, 2^9967776 is an apocalyptic number.

9967776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9967776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489872).

9967776 is an abundant number, since it is smaller than the sum of its proper divisors (23011968).

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

9967776 is a wasteful number, since it uses less digits than its factorization.

9967776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 51.

The square root of 9967776 is about 3157.1784871939. The cubic root of 9967776 is about 215.2118049752.

The spelling of 9967776 in words is "nine million, nine hundred sixty-seven thousand, seven hundred seventy-six".