649993120 has 192 divisors, whose sum is σ = 1839753216. Its totient is φ = 212336640.

The previous prime is 649993111. The next prime is 649993129. The reversal of 649993120 is 21399946.

649993120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (649993111) and next prime (649993129).

It is not an unprimeable number, because it can be changed into a prime (649993129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367744 + ... + 3367936.

It is an arithmetic number, because the mean of its divisors is an integer number (9582048).

Almost surely, 2^649993120 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 649993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919876608).

649993120 is an abundant number, since it is smaller than the sum of its proper divisors (1189760096).

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

649993120 is a wasteful number, since it uses less digits than its factorization.

649993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 649993120 is about 25494.9626397059. The cubic root of 649993120 is about 866.2360490609.

The spelling of 649993120 in words is "six hundred forty-nine million, nine hundred ninety-three thousand, one hundred twenty".