9967616 has 48 divisors (see below), whose sum is σ = 20704320. Its totient is φ = 4792320.

The previous prime is 9967603. The next prime is 9967621. The reversal of 9967616 is 6167699.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63410 + ... + 63566.

It is an arithmetic number, because the mean of its divisors is an integer number (431340).

Almost surely, 2^9967616 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 9967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352160).

9967616 is an abundant number, since it is smaller than the sum of its proper divisors (10736704).

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

9967616 is a wasteful number, since it uses less digits than its factorization.

9967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its digits is 122472, while the sum is 44.

The square root of 9967616 is about 3157.1531480117. The cubic root of 9967616 is about 215.2106534621.

The spelling of 9967616 in words is "nine million, nine hundred sixty-seven thousand, six hundred sixteen".