648522000 has 240 divisors, whose sum is σ = 2589155712. Its totient is φ = 148204800.

The previous prime is 648521947. The next prime is 648522019. The reversal of 648522000 is 225846.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 123427 + ... + 128573.

Almost surely, 2^648522000 is an apocalyptic number.

648522000 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 648522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294577856).

648522000 is an abundant number, since it is smaller than the sum of its proper divisors (1940633712).

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

648522000 is a wasteful number, since it uses less digits than its factorization.

648522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 648522000 is about 25466.0951070242. The cubic root of 648522000 is about 865.5820422495.

Adding to 648522000 its reverse (225846), we get a palindrome (648747846).

The spelling of 648522000 in words is "six hundred forty-eight million, five hundred twenty-two thousand".