649760384 has 144 divisors (see below), whose sum is σ = 1633181670. Its totient is φ = 256628736.

The previous prime is 649760381. The next prime is 649760407. The reversal of 649760384 is 483067946.

It can be written as a sum of positive squares in 3 ways, for example, as 109662784 + 540097600 = 10472^2 + 23240^2 .

It is not an unprimeable number, because it can be changed into a prime (649760381) 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 17 ways as a sum of consecutive naturals, for example, 1059662 + ... + 1060274.

Almost surely, 2^649760384 is an apocalyptic number.

649760384 is a gapful number since it is divisible by the number (64) 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 649760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816590835).

649760384 is an abundant number, since it is smaller than the sum of its proper divisors (983421286).

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

649760384 is a wasteful number, since it uses less digits than its factorization.

649760384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 649760384 is about 25490.3978784169. The cubic root of 649760384 is about 866.1326487972.

The spelling of 649760384 in words is "six hundred forty-nine million, seven hundred sixty thousand, three hundred eighty-four".