9008160 has 144 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 2053632.

The previous prime is 9008141. The next prime is 9008171. The reversal of 9008160 is 618009.

It is a super-2 number, since 2×9008160² = 162293893171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 9008160.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23329 + ... + 23711.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^9008160 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 9008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

9008160 is an abundant number, since it is smaller than the sum of its proper divisors (24086496).

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

9008160 is a wasteful number, since it uses less digits than its factorization.

9008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 9008160 is about 3001.3596918730. The cubic root of 9008160 is about 208.0712280712.

The spelling of 9008160 in words is "nine million, eight thousand, one hundred sixty".