120788568 has 48 divisors (see below), whose sum is σ = 330158400. Its totient is φ = 39890880.

The previous prime is 120788561. The next prime is 120788573. The reversal of 120788568 is 865887021.

120788568 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 88 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120788561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 15543.

It is an arithmetic number, because the mean of its divisors is an integer number (6878300).

Almost surely, 2^120788568 is an apocalyptic number.

120788568 is a gapful number since it is divisible by the number (18) 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 120788568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165079200).

120788568 is an abundant number, since it is smaller than the sum of its proper divisors (209369832).

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

120788568 is a wasteful number, since it uses less digits than its factorization.

120788568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15512 (or 15505 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 120788568 is about 10990.3852525742. The cubic root of 120788568 is about 494.3204878886.

The spelling of 120788568 in words is "one hundred twenty million, seven hundred eighty-eight thousand, five hundred sixty-eight".