9008946 has 48 divisors (see below), whose sum is σ = 21060000. Its totient is φ = 2772864.

The previous prime is 9008933. The next prime is 9008947. The reversal of 9008946 is 6498009.

9008946 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9008946² = 162322216061832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9008946.

It is not an unprimeable number, because it can be changed into a prime (9008947) 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, 17805 + ... + 18303.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^9008946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9008946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530000).

9008946 is an abundant number, since it is smaller than the sum of its proper divisors (12051054).

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

9008946 is a wasteful number, since it uses less digits than its factorization.

9008946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9008946 is about 3001.4906296705. The cubic root of 9008946 is about 208.0772795929.

The spelling of 9008946 in words is "nine million, eight thousand, nine hundred forty-six".