648346880 has 144 divisors (see below), whose sum is σ = 1668885120. Its totient is φ = 240574464.

The previous prime is 648346877. The next prime is 648346913. The reversal of 648346880 is 88643846.

648346880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1288709 + ... + 1289211.

It is an arithmetic number, because the mean of its divisors is an integer number (11589480).

Almost surely, 2^648346880 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 648346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834442560).

648346880 is an abundant number, since it is smaller than the sum of its proper divisors (1020538240).

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

648346880 is a wasteful number, since it uses less digits than its factorization.

648346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 648346880 is about 25462.6565778200. The cubic root of 648346880 is about 865.5041243721.

The spelling of 648346880 in words is "six hundred forty-eight million, three hundred forty-six thousand, eight hundred eighty".