648097632 has 192 divisors, whose sum is σ = 2326786560. Its totient is φ = 170906112.

The previous prime is 648097631. The next prime is 648097651. The reversal of 648097632 is 236790846.

648097632 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 9 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648097631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74503 + ... + 82745.

It is an arithmetic number, because the mean of its divisors is an integer number (12118680).

Almost surely, 2^648097632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163393280).

648097632 is an abundant number, since it is smaller than the sum of its proper divisors (1678688928).

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

648097632 is a wasteful number, since it uses less digits than its factorization.

648097632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 648097632 is about 25457.7617240794. The cubic root of 648097632 is about 865.3931997890.

The spelling of 648097632 in words is "six hundred forty-eight million, ninety-seven thousand, six hundred thirty-two".