649084320 has 192 divisors, whose sum is σ = 2283603840. Its totient is φ = 172191744.

The previous prime is 649084313. The next prime is 649084321. The reversal of 649084320 is 23480946.

It is a happy number.

649084320 is a `hidden beast` number, since 649 + 0 + 8 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (649084321) 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 31 ways as a sum of consecutive naturals, for example, 1498824 + ... + 1499256.

It is an arithmetic number, because the mean of its divisors is an integer number (11893770).

Almost surely, 2^649084320 is an apocalyptic number.

649084320 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 649084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141801920).

649084320 is an abundant number, since it is smaller than the sum of its proper divisors (1634519520).

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

649084320 is a wasteful number, since it uses less digits than its factorization.

649084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 649084320 is about 25477.1332767248. The cubic root of 649084320 is about 865.8321460664.

The spelling of 649084320 in words is "six hundred forty-nine million, eighty-four thousand, three hundred twenty".