120834560 has 160 divisors (see below), whose sum is σ = 361798272. Its totient is φ = 37601280.

The previous prime is 120834523. The next prime is 120834569. The reversal of 120834560 is 65438021.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (120834569) 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 15 ways as a sum of consecutive naturals, for example, 196814 + ... + 197426.

Almost surely, 2^120834560 is an apocalyptic number.

120834560 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 120834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180899136).

120834560 is an abundant number, since it is smaller than the sum of its proper divisors (240963712).

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

120834560 is an equidigital number, since it uses as much as digits as its factorization.

120834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 120834560 is about 10992.4774277685. The cubic root of 120834560 is about 494.3832198269.

The spelling of 120834560 in words is "one hundred twenty million, eight hundred thirty-four thousand, five hundred sixty".