648508 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 247104.

The previous prime is 648481. The next prime is 648509. The reversal of 648508 is 805846.

It is a self number, because there is not a number n which added to its sum of digits gives 648508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648509) 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 15 ways as a sum of consecutive naturals, for example, 12210 + ... + 12262.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁶⁴⁸⁵⁰⁸ 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 648508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

648508 is an abundant number, since it is smaller than the sum of its proper divisors (803012).

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

648508 is a wasteful number, since it uses less digits than its factorization.

648508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 648508 is about 805.2999441202. The cubic root of 648508 is about 86.5575813607.

It can be divided in two parts, 648 and 508, that added together give a square (1156 = 34²).

The spelling of 648508 in words is "six hundred forty-eight thousand, five hundred eight".