8961008 has 40 divisors (see below), whose sum is σ = 20891520. Its totient is φ = 3637440.

The previous prime is 8960983. The next prime is 8961019. The reversal of 8961008 is 8001698.

8961008 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

8961008 is a modest number, since divided by 1008 gives 896 as remainder.

8961008 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^8961008 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 8961008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

8961008 is an abundant number, since it is smaller than the sum of its proper divisors (11930512).

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

8961008 is a wasteful number, since it uses less digits than its factorization.

8961008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 8961008 is about 2993.4942792663. The cubic root of 8961008 is about 207.7075525231.

The spelling of 8961008 in words is "eight million, nine hundred sixty-one thousand, eight".