120566688 has 192 divisors, whose sum is σ = 371589120. Its totient is φ = 33868800.

The previous prime is 120566681. The next prime is 120566707. The reversal of 120566688 is 886665021.

It is not an unprimeable number, because it can be changed into a prime (120566681) 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, 949281 + ... + 949407.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^120566688 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 120566688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

120566688 is an abundant number, since it is smaller than the sum of its proper divisors (251022432).

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

120566688 is a wasteful number, since it uses less digits than its factorization.

120566688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 120566688 is about 10980.2863350643. The cubic root of 120566688 is about 494.0176251859.

The spelling of 120566688 in words is "one hundred twenty million, five hundred sixty-six thousand, six hundred eighty-eight".