9128640 has 112 divisors (see below), whose sum is σ = 29882592. Its totient is φ = 2359296.

The previous prime is 9128629. The next prime is 9128653. The reversal of 9128640 is 468219.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9128598 and 9128607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35392 + ... + 35648.

Almost surely, 2^9128640 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 9128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941296).

9128640 is an abundant number, since it is smaller than the sum of its proper divisors (20753952).

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

9128640 is a wasteful number, since it uses less digits than its factorization.

9128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9128640 is about 3021.3639304129. The cubic root of 9128640 is about 208.9947420516.

The spelling of 9128640 in words is "nine million, one hundred twenty-eight thousand, six hundred forty".