648821880 has 256 divisors, whose sum is σ = 2602368000. Its totient is φ = 140465664.

The previous prime is 648821867. The next prime is 648821891. The reversal of 648821880 is 88128846.

It is a happy number.

648821880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141382 + ... + 145898.

It is an arithmetic number, because the mean of its divisors is an integer number (10165500).

Almost surely, 2^648821880 is an apocalyptic number.

648821880 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 648821880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301184000).

648821880 is an abundant number, since it is smaller than the sum of its proper divisors (1953546120).

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

648821880 is a wasteful number, since it uses less digits than its factorization.

648821880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 648821880 is about 25471.9822550189. The cubic root of 648821880 is about 865.7154382608.

The spelling of 648821880 in words is "six hundred forty-eight million, eight hundred twenty-one thousand, eight hundred eighty".