648528 has 40 divisors (see below), whose sum is σ = 1711200. Its totient is φ = 211584.

The previous prime is 648509. The next prime is 648563. The reversal of 648528 is 825846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2718 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (42780).

2⁶⁴⁸⁵²⁸ 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 648528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855600).

648528 is an abundant number, since it is smaller than the sum of its proper divisors (1062672).

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

648528 is a wasteful number, since it uses less digits than its factorization.

648528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 648528 is about 805.3123617578. The cubic root of 648528 is about 86.5584711640.

It can be divided in two parts, 648 and 528, that added together give a triangular number (1176 = T₄₈).

The spelling of 648528 in words is "six hundred forty-eight thousand, five hundred twenty-eight".