648980640 has 384 divisors, whose sum is σ = 2833367040. Its totient is φ = 134784000.

The previous prime is 648980617. The next prime is 648980669. The reversal of 648980640 is 46089846.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 331665 + ... + 333615.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2^648980640 is an apocalyptic number.

648980640 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 648980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416683520).

648980640 is an abundant number, since it is smaller than the sum of its proper divisors (2184386400).

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

648980640 is a wasteful number, since it uses less digits than its factorization.

648980640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 648980640 is about 25475.0984296430. The cubic root of 648980640 is about 865.7860430388.

It can be divided in two parts, 6489806 and 40, that added together give a palindrome (6489846).

The spelling of 648980640 in words is "six hundred forty-eight million, nine hundred eighty thousand, six hundred forty".