9038640 has 80 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 2224128.

The previous prime is 9038629. The next prime is 9038657. The reversal of 9038640 is 468309.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 9038598 and 9038607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 4568.

Almost surely, 2^9038640 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 9038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

9038640 is an abundant number, since it is smaller than the sum of its proper divisors (21146928).

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

9038640 is a wasteful number, since it uses less digits than its factorization.

9038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9038640 is about 3006.4331025320. The cubic root of 9038640 is about 208.3056404079.

The spelling of 9038640 in words is "nine million, thirty-eight thousand, six hundred forty".