648788000 has 384 divisors, whose sum is σ = 2037934080. Its totient is φ = 197836800.

The previous prime is 648787991. The next prime is 648788027. The reversal of 648788000 is 887846.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 13803977 + ... + 13804023.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^648788000 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 648788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

648788000 is an abundant number, since it is smaller than the sum of its proper divisors (1389146080).

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

648788000 is a wasteful number, since it uses less digits than its factorization.

648788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 648788000 is about 25471.3172019038. The cubic root of 648788000 is about 865.7003694361.

The spelling of 648788000 in words is "six hundred forty-eight million, seven hundred eighty-eight thousand".