9008640 has 240 divisors, whose sum is σ = 34471008. Its totient is φ = 2162688.

The previous prime is 9008639. The next prime is 9008687. The reversal of 9008640 is 468009.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 391669 + ... + 391691.

Almost surely, 2^9008640 is an apocalyptic number.

9008640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

9008640 is an abundant number, since it is smaller than the sum of its proper divisors (25462368).

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

9008640 is a wasteful number, since it uses less digits than its factorization.

9008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

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

The square root of 9008640 is about 3001.4396545658. The cubic root of 9008640 is about 208.0749236988.

The spelling of 9008640 in words is "nine million, eight thousand, six hundred forty".