9967008 has 48 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 3251648.

The previous prime is 9967003. The next prime is 9967031. The reversal of 9967008 is 8007699.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9967003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212041 + ... + 212087.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^9967008 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 9967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

9967008 is an abundant number, since it is smaller than the sum of its proper divisors (16765152).

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

9967008 is an frugal number, since it uses more digits than its factorization.

9967008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 52 counting only the distinct ones).

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

The square root of 9967008 is about 3157.0568572644. The cubic root of 9967008 is about 215.2062776000.

The spelling of 9967008 in words is "nine million, nine hundred sixty-seven thousand, eight".