648828800 has 96 divisors (see below), whose sum is σ = 1697235120. Its totient is φ = 244244480.

The previous prime is 648828793. The next prime is 648828811. The reversal of 648828800 is 8828846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48437 + ... + 60363.

Almost surely, 2^648828800 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 648828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848617560).

648828800 is an abundant number, since it is smaller than the sum of its proper divisors (1048406320).

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

648828800 is a wasteful number, since it uses less digits than its factorization.

648828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 648828800 is about 25472.1180901785. The cubic root of 648828800 is about 865.7185160082.

The spelling of 648828800 in words is "six hundred forty-eight million, eight hundred twenty-eight thousand, eight hundred".