585085040 has 80 divisors (see below), whose sum is σ = 1424908800. Its totient is φ = 223001856.

The previous prime is 585085037. The next prime is 585085049. The reversal of 585085040 is 40580585.

It is a happy number.

585085040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585085049) 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, 696941 + ... + 697779.

It is an arithmetic number, because the mean of its divisors is an integer number (17811360).

Almost surely, 2^585085040 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 585085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

585085040 is an abundant number, since it is smaller than the sum of its proper divisors (839823760).

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

585085040 is a wasteful number, since it uses less digits than its factorization.

585085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 585085040 is about 24188.5311666500. The cubic root of 585085040 is about 836.3851845568.

The spelling of 585085040 in words is "five hundred eighty-five million, eighty-five thousand, forty".