648564 has 36 divisors (see below), whose sum is σ = 1761984. Its totient is φ = 185136.

The previous prime is 648563. The next prime is 648607. The reversal of 648564 is 465846.

It is a happy number.

648564 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (48944).

2⁶⁴⁸⁵⁶⁴ 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 648564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880992).

648564 is an abundant number, since it is smaller than the sum of its proper divisors (1113420).

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

648564 is a wasteful number, since it uses less digits than its factorization.

648564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 648564 is about 805.3347130231. The cubic root of 648564 is about 86.5600727640.

The spelling of 648564 in words is "six hundred forty-eight thousand, five hundred sixty-four".