120564216 has 24 divisors (see below), whose sum is σ = 326528280. Its totient is φ = 40188048.

The previous prime is 120564211. The next prime is 120564277. The reversal of 120564216 is 612465021.

120564216 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 642 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120564216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120564211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 837180 + ... + 837323.

It is an arithmetic number, because the mean of its divisors is an integer number (13605345).

Almost surely, 2^120564216 is an apocalyptic number.

It is an amenable number.

120564216 is an abundant number, since it is smaller than the sum of its proper divisors (205964064).

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

120564216 is a wasteful number, since it uses less digits than its factorization.

120564216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674515 (or 1674508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120564216 is about 10980.1737691168. The cubic root of 120564216 is about 494.0142488528.

The spelling of 120564216 in words is "one hundred twenty million, five hundred sixty-four thousand, two hundred sixteen".