648000360 has 192 divisors, whose sum is σ = 2490134400. Its totient is φ = 142990848.

The previous prime is 648000337. The next prime is 648000371. The reversal of 648000360 is 63000846.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68647 + ... + 77513.

It is an arithmetic number, because the mean of its divisors is an integer number (12969450).

Almost surely, 2^648000360 is an apocalyptic number.

648000360 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 648000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245067200).

648000360 is an abundant number, since it is smaller than the sum of its proper divisors (1842134040).

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

648000360 is a wasteful number, since it uses less digits than its factorization.

648000360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 648000360 is about 25455.8511937825. The cubic root of 648000360 is about 865.3499024344.

The spelling of 648000360 in words is "six hundred forty-eight million, three hundred sixty", and thus it is an aban number.