648032 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 251520.

The previous prime is 648029. The next prime is 648041. The reversal of 648032 is 230846.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 647989 and 648007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648032.

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, 2333 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁶⁴⁸⁰³² 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 648032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

648032 is an abundant number, since it is smaller than the sum of its proper divisors (948640).

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

648032 is a wasteful number, since it uses less digits than its factorization.

648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 648032 is about 805.0043478143. The cubic root of 648032 is about 86.5363986390.

Adding to 648032 its reverse (230846), we get a palindrome (878878).

The spelling of 648032 in words is "six hundred forty-eight thousand, thirty-two".