648816000 has 256 divisors, whose sum is σ = 2459358720. Its totient is φ = 148224000.

The previous prime is 648815953. The next prime is 648816017. The reversal of 648816000 is 618846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335035 + ... + 336965.

It is an arithmetic number, because the mean of its divisors is an integer number (9606870).

Almost surely, 2^648816000 is an apocalyptic number.

648816000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229679360).

648816000 is an abundant number, since it is smaller than the sum of its proper divisors (1810542720).

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

648816000 is a wasteful number, since it uses less digits than its factorization.

648816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 648816000 is about 25471.8668338228. The cubic root of 648816000 is about 865.7128230479.

The spelling of 648816000 in words is "six hundred forty-eight million, eight hundred sixteen thousand".