648610560 has 432 divisors, whose sum is σ = 2490965568. Its totient is φ = 154828800.

The previous prime is 648610531. The next prime is 648610561. The reversal of 648610560 is 65016846.

648610560 is a `hidden beast` number, since 6 + 4 + 86 + 10 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648610561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9135325 + ... + 9135395.

It is an arithmetic number, because the mean of its divisors is an integer number (5766124).

Almost surely, 2^648610560 is an apocalyptic number.

648610560 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 648610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245482784).

648610560 is an abundant number, since it is smaller than the sum of its proper divisors (1842355008).

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

648610560 is a wasteful number, since it uses less digits than its factorization.

648610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 648610560 is about 25467.8338301474. The cubic root of 648610560 is about 865.6214407878.

The spelling of 648610560 in words is "six hundred forty-eight million, six hundred ten thousand, five hundred sixty".