648916480 has 160 divisors (see below), whose sum is σ = 1654608384. Its totient is φ = 243572736.

The previous prime is 648916439. The next prime is 648916487. The reversal of 648916480 is 84619846.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 648916480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648916487) 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 15 ways as a sum of consecutive naturals, for example, 6064587 + ... + 6064693.

Almost surely, 2^648916480 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 648916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

648916480 is an abundant number, since it is smaller than the sum of its proper divisors (1005691904).

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

648916480 is a wasteful number, since it uses less digits than its factorization.

648916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 648916480 is about 25473.8391295855. The cubic root of 648916480 is about 865.7575107736.

The spelling of 648916480 in words is "six hundred forty-eight million, nine hundred sixteen thousand, four hundred eighty".