648667008 has 256 divisors, whose sum is σ = 2120947200. Its totient is φ = 193536000.

The previous prime is 648667007. The next prime is 648667013. The reversal of 648667008 is 800766846.

It is a happy number.

648667008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648667007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4295733 + ... + 4295883.

It is an arithmetic number, because the mean of its divisors is an integer number (8284950).

Almost surely, 2^648667008 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 648667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060473600).

648667008 is an abundant number, since it is smaller than the sum of its proper divisors (1472280192).

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

648667008 is a wasteful number, since it uses less digits than its factorization.

648667008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 648667008 is about 25468.9420274969. The cubic root of 648667008 is about 865.6465514807.

The spelling of 648667008 in words is "six hundred forty-eight million, six hundred sixty-seven thousand, eight".