7900585 has 16 divisors (see below), whose sum is σ = 11820672. Its totient is φ = 4924800.

The previous prime is 7900583. The next prime is 7900609. The reversal of 7900585 is 5850097.

It is not a de Polignac number, because 7900585 - 2¹ = 7900583 is a prime.

It is a Duffinian number.

7900585 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7900585.

It is not an unprimeable number, because it can be changed into a prime (7900583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9876 + ... + 10645.

It is an arithmetic number, because the mean of its divisors is an integer number (738792).

Almost surely, 2^7900585 is an apocalyptic number.

It is an amenable number.

7900585 is a deficient number, since it is larger than the sum of its proper divisors (3920087).

7900585 is a wasteful number, since it uses less digits than its factorization.

7900585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544.

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 7900585 is about 2810.7979294144. The cubic root of 7900585 is about 199.1680860606.

The spelling of 7900585 in words is "seven million, nine hundred thousand, five hundred eighty-five".