648645520 has 80 divisors (see below), whose sum is σ = 1555525440. Its totient is φ = 251361792.

The previous prime is 648645509. The next prime is 648645539. The reversal of 648645520 is 25546846.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 1239979 + ... + 1240501.

It is an arithmetic number, because the mean of its divisors is an integer number (19444068).

Almost surely, 2^648645520 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 648645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777762720).

648645520 is an abundant number, since it is smaller than the sum of its proper divisors (906879920).

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

648645520 is a wasteful number, since it uses less digits than its factorization.

648645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 648645520 is about 25468.5201768772. The cubic root of 648645520 is about 865.6369927917.

The spelling of 648645520 in words is "six hundred forty-eight million, six hundred forty-five thousand, five hundred twenty".