120865680 has 240 divisors, whose sum is σ = 450231600. Its totient is φ = 28864512.

The previous prime is 120865673. The next prime is 120865681. The reversal of 120865680 is 86568021.

It is a happy number.

120865680 is a `hidden beast` number, since 12 + 0 + 86 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 831744 + 120033936 = 912^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (120865681) 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 47 ways as a sum of consecutive naturals, for example, 346146 + ... + 346494.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^120865680 is an apocalyptic number.

120865680 is a gapful number since it is divisible by the number (10) 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 120865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225115800).

120865680 is an abundant number, since it is smaller than the sum of its proper divisors (329365920).

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

120865680 is a wasteful number, since it uses less digits than its factorization.

120865680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 120865680 is about 10993.8928501237. The cubic root of 120865680 is about 494.4256577001.

It can be divided in two parts, 12086 and 5680, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 120865680 in words is "one hundred twenty million, eight hundred sixty-five thousand, six hundred eighty".