585472560 has 80 divisors (see below), whose sum is σ = 1822383360. Its totient is φ = 155488000.

The previous prime is 585472543. The next prime is 585472583. The reversal of 585472560 is 65274585.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55381 + ... + 65099.

It is an arithmetic number, because the mean of its divisors is an integer number (22779792).

Almost surely, 2^585472560 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 585472560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911191680).

585472560 is an abundant number, since it is smaller than the sum of its proper divisors (1236910800).

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

585472560 is a wasteful number, since it uses less digits than its factorization.

585472560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 585472560 is about 24196.5402485562. The cubic root of 585472560 is about 836.5697984354.

The spelling of 585472560 in words is "five hundred eighty-five million, four hundred seventy-two thousand, five hundred sixty".