648128 has 56 divisors (see below), whose sum is σ = 1493520. Its totient is φ = 276480.

The previous prime is 648119. The next prime is 648133. The reversal of 648128 is 821846.

It is a self number, because there is not a number n which added to its sum of digits gives 648128.

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 648128.

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, 15788 + ... + 15828.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2⁶⁴⁸¹²⁸ 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 648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746760).

648128 is an abundant number, since it is smaller than the sum of its proper divisors (845392).

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

648128 is a wasteful number, since it uses less digits than its factorization.

648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 648128 is about 805.0639726134. The cubic root of 648128 is about 86.5406716194.

It can be divided in two parts, 648 and 128, that multiplied together give a square (82944 = 288²).

The spelling of 648128 in words is "six hundred forty-eight thousand, one hundred twenty-eight".