648648 has 160 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 155520.

The previous prime is 648631. The next prime is 648649. The reversal of 648648 is 846846.

648648 is a `hidden beast` number, since 6 + 4 + 8 + 648 = 666.

648648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (36864) is a multiple of the sum of its prime divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648648.

It is not an unprimeable number, because it can be changed into a prime (648649) by changing a digit.

It is a Kaprekar number, because its square (420744227904) can be partitioned into two parts whose sum is 648648.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49890 + ... + 49902.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2⁶⁴⁸⁶⁴⁸ 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 648648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

648648 is an abundant number, since it is smaller than the sum of its proper divisors (1790712).

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

648648 is a wasteful number, since it uses less digits than its factorization.

648648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 648648 is about 805.3868635631. The cubic root of 648648 is about 86.5638096002.

It can be divided in two parts, 648 and 648, that added together give a 4-th power (1296 = 6⁴).

The spelling of 648648 in words is "six hundred forty-eight thousand, six hundred forty-eight".