120840864 has 48 divisors (see below), whose sum is σ = 321693120. Its totient is φ = 39710720.

The previous prime is 120840851. The next prime is 120840871. The reversal of 120840864 is 468048021.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2049 + ... + 15680.

It is an arithmetic number, because the mean of its divisors is an integer number (6701940).

Almost surely, 2^120840864 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 120840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160846560).

120840864 is an abundant number, since it is smaller than the sum of its proper divisors (200852256).

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

120840864 is a wasteful number, since it uses less digits than its factorization.

120840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17805 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 120840864 is about 10992.7641655773. The cubic root of 120840864 is about 494.3918170847.

Adding to 120840864 its reverse (468048021), we get a palindrome (588888885).

The spelling of 120840864 in words is "one hundred twenty million, eight hundred forty thousand, eight hundred sixty-four".