648144 has 60 divisors (see below), whose sum is σ = 2076256. Its totient is φ = 184896.

The previous prime is 648133. The next prime is 648173. The reversal of 648144 is 441846.

648144 is a `hidden beast` number, since 648 + 14 + 4 = 666.

648144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

648144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 1329.

2⁶⁴⁸¹⁴⁴ 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 648144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038128).

648144 is an abundant number, since it is smaller than the sum of its proper divisors (1428112).

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

648144 is a wasteful number, since it uses less digits than its factorization.

648144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 648144 is about 805.0739096505. The cubic root of 648144 is about 86.5413837418.

The spelling of 648144 in words is "six hundred forty-eight thousand, one hundred forty-four".