648762048 has 280 divisors, whose sum is σ = 2171541504. Its totient is φ = 189734400.

The previous prime is 648762047. The next prime is 648762061. The reversal of 648762048 is 840267846.

It is a junction number, because it is equal to n+sod(n) for n = 648761994 and 648762012.

It is not an unprimeable number, because it can be changed into a prime (648762047) 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 39 ways as a sum of consecutive naturals, for example, 1767561 + ... + 1767927.

Almost surely, 2^648762048 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 648762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085770752).

648762048 is an abundant number, since it is smaller than the sum of its proper divisors (1522779456).

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

648762048 is a wasteful number, since it uses less digits than its factorization.

648762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 648762048 is about 25470.8077610428. The cubic root of 648762048 is about 865.6888263971.

The spelling of 648762048 in words is "six hundred forty-eight million, seven hundred sixty-two thousand, forty-eight".