648024000 has 448 divisors, whose sum is σ = 2414211072. Its totient is φ = 152064000.

The previous prime is 648023989. The next prime is 648024007. The reversal of 648024000 is 420846.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648024007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9671967 + ... + 9672033.

It is an arithmetic number, because the mean of its divisors is an integer number (5388864).

Almost surely, 2^648024000 is an apocalyptic number.

648024000 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 648024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207105536).

648024000 is an abundant number, since it is smaller than the sum of its proper divisors (1766187072).

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

648024000 is a wasteful number, since it uses less digits than its factorization.

648024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 648024000 is about 25456.3155228717. The cubic root of 648024000 is about 865.3604253827.

Adding to 648024000 its reverse (420846), we get a palindrome (648444846).

The spelling of 648024000 in words is "six hundred forty-eight million, twenty-four thousand".