9005840 has 20 divisors (see below), whose sum is σ = 20938764. Its totient is φ = 3602304.

The previous prime is 9005839. The next prime is 9005849. The reversal of 9005840 is 485009.

It can be written as a sum of positive squares in 2 ways, for example, as 4477456 + 4528384 = 2116^2 + 2128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×9005840² = 162210308211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9005849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56207 + ... + 56366.

Almost surely, 2^9005840 is an apocalyptic number.

It is an amenable number.

9005840 is an abundant number, since it is smaller than the sum of its proper divisors (11932924).

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

9005840 is a wasteful number, since it uses less digits than its factorization.

9005840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112586 (or 112580 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 9005840 is about 3000.9731754882. The cubic root of 9005840 is about 208.0533640199.

The spelling of 9005840 in words is "nine million, five thousand, eight hundred forty".