649365120 has 128 divisors (see below), whose sum is σ = 2299896000. Its totient is φ = 173159424.

The previous prime is 649365089. The next prime is 649365121. The reversal of 649365120 is 21563946.

It is a happy number.

649365120 is a `hidden beast` number, since 649 + 3 + 6 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×649365120² = 843350118145228800, which contains 22 as substring.

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 (649365121) 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 15 ways as a sum of consecutive naturals, for example, 1510 + ... + 36069.

Almost surely, 2^649365120 is an apocalyptic number.

649365120 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 649365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149948000).

649365120 is an abundant number, since it is smaller than the sum of its proper divisors (1650530880).

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

649365120 is a wasteful number, since it uses less digits than its factorization.

649365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37607 (or 37589 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 649365120 is about 25482.6435049427. The cubic root of 649365120 is about 865.9569837843.

The spelling of 649365120 in words is "six hundred forty-nine million, three hundred sixty-five thousand, one hundred twenty".