648347040 has 324 divisors, whose sum is σ = 2472425046. Its totient is φ = 154598400.

The previous prime is 648347027. The next prime is 648347053. The reversal of 648347040 is 40743846.

648347040 is a `hidden beast` number, since 648 + 3 + 4 + 7 + 0 + 4 + 0 = 666.

648347040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (648347027) and next prime (648347053).

It can be written as a sum of positive squares in 3 ways, for example, as 150700176 + 497646864 = 12276^2 + 22308^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 648346986 and 648347004.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10628610 + ... + 10628670.

Almost surely, 2^648347040 is an apocalyptic number.

648347040 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 648347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236212523).

648347040 is an abundant number, since it is smaller than the sum of its proper divisors (1824078006).

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

648347040 is a wasteful number, since it uses less digits than its factorization.

648347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 648347040 is about 25462.6597196758. The cubic root of 648347040 is about 865.5041955689.

The spelling of 648347040 in words is "six hundred forty-eight million, three hundred forty-seven thousand, forty".