648567000 has 384 divisors, whose sum is σ = 2422405440. Its totient is φ = 161740800.

The previous prime is 648566993. The next prime is 648567013. The reversal of 648567000 is 765846.

It is a happy number.

648567000 is a `hidden beast` number, since 648 + 5 + 6 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 4130922 + ... + 4131078.

Almost surely, 2^648567000 is an apocalyptic number.

648567000 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 648567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211202720).

648567000 is an abundant number, since it is smaller than the sum of its proper divisors (1773838440).

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

648567000 is a wasteful number, since it uses less digits than its factorization.

648567000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 648567000 is about 25466.9786193808. The cubic root of 648567000 is about 865.6020622802.

The spelling of 648567000 in words is "six hundred forty-eight million, five hundred sixty-seven thousand".