648605520 has 240 divisors, whose sum is σ = 2318958720. Its totient is φ = 162100224.

The previous prime is 648605509. The next prime is 648605533. The reversal of 648605520 is 25506846.

648605520 is a `hidden beast` number, since 6 + 48 + 60 + 552 + 0 = 666.

648605520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877311 + ... + 878049.

It is an arithmetic number, because the mean of its divisors is an integer number (9662328).

Almost surely, 2^648605520 is an apocalyptic number.

648605520 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 648605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159479360).

648605520 is an abundant number, since it is smaller than the sum of its proper divisors (1670353200).

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

648605520 is a wasteful number, since it uses less digits than its factorization.

648605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 648605520 is about 25467.7348816105. The cubic root of 648605520 is about 865.6191986908.

The spelling of 648605520 in words is "six hundred forty-eight million, six hundred five thousand, five hundred twenty".