649335120 has 160 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 145881600.

The previous prime is 649335101. The next prime is 649335121. The reversal of 649335120 is 21533946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649335121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95845 + ... + 102395.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^649335120 is an apocalyptic number.

649335120 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 649335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

649335120 is an abundant number, since it is smaller than the sum of its proper divisors (1690515120).

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

649335120 is a wasteful number, since it uses less digits than its factorization.

649335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 649335120 is about 25482.0548621967. The cubic root of 649335120 is about 865.9436481385.

The spelling of 649335120 in words is "six hundred forty-nine million, three hundred thirty-five thousand, one hundred twenty".