648320 has 32 divisors (see below), whose sum is σ = 1551420. Its totient is φ = 259072.

The previous prime is 648317. The next prime is 648331. The reversal of 648320 is 23846.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 118336 = 728^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 1146.

2⁶⁴⁸³²⁰ 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 648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775710).

648320 is an abundant number, since it is smaller than the sum of its proper divisors (903100).

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

648320 is a wasteful number, since it uses less digits than its factorization.

648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

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

The square root of 648320 is about 805.1832089655. The cubic root of 648320 is about 86.5492163145.

The spelling of 648320 in words is "six hundred forty-eight thousand, three hundred twenty".