9008064 has 112 divisors (see below), whose sum is σ = 28590240. Its totient is φ = 2764800.

The previous prime is 9008063. The next prime is 9008101. The reversal of 9008064 is 4608009.

It is a super-2 number, since 2×9008064² = 162290434056192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22264 + ... + 22664.

It is an arithmetic number, because the mean of its divisors is an integer number (255270).

Almost surely, 2^9008064 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 9008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295120).

9008064 is an abundant number, since it is smaller than the sum of its proper divisors (19582176).

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

9008064 is a wasteful number, since it uses less digits than its factorization.

9008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9008064 is about 3001.3436990788. The cubic root of 9008064 is about 208.0704889299.

The spelling of 9008064 in words is "nine million, eight thousand, sixty-four".