648585 has 48 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 282240.

The previous prime is 648563. The next prime is 648607. The reversal of 648585 is 585846.

It is a happy number.

648585 is a `hidden beast` number, since 648 + 5 + 8 + 5 = 666.

648585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (648563) and next prime (648607).

It is not a de Polignac number, because 648585 - 2⁹ = 648073 is a prime.

It is a Curzon number.

648585 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648585.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9100 + ... + 9170.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁶⁴⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

648585 is an abundant number, since it is smaller than the sum of its proper divisors (699255).

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

648585 is a wasteful number, since it uses less digits than its factorization.

648585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 648585 is about 805.3477509747. The cubic root of 648585 is about 86.5610070033.

It can be divided in two parts, 64 and 8585, that added together give a square (8649 = 93²).

The spelling of 648585 in words is "six hundred forty-eight thousand, five hundred eighty-five".