649398960 has 360 divisors, whose sum is σ = 2580102720. Its totient is φ = 145926144.

The previous prime is 649398949. The next prime is 649398961. The reversal of 649398960 is 69893946.

It is a happy number.

649398960 is a `hidden beast` number, since 6 + 493 + 98 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 649398897 and 649398906.

It is not an unprimeable number, because it can be changed into a prime (649398961) 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 71 ways as a sum of consecutive naturals, for example, 2787004 + ... + 2787236.

It is an arithmetic number, because the mean of its divisors is an integer number (7166952).

Almost surely, 2^649398960 is an apocalyptic number.

649398960 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 649398960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290051360).

649398960 is an abundant number, since it is smaller than the sum of its proper divisors (1930703760).

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

649398960 is a wasteful number, since it uses less digits than its factorization.

649398960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 649398960 is about 25483.3074776411. The cubic root of 649398960 is about 865.9720258997.

The spelling of 649398960 in words is "six hundred forty-nine million, three hundred ninety-eight thousand, nine hundred sixty".