120679680 has 144 divisors (see below), whose sum is σ = 420606144. Its totient is φ = 29245440.

The previous prime is 120679673. The next prime is 120679693. The reversal of 120679680 is 86976021.

It is a congruent number.

It is an unprimeable number.

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, 40812 + ... + 43668.

It is an arithmetic number, because the mean of its divisors is an integer number (2920876).

Almost surely, 2^120679680 is an apocalyptic number.

120679680 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 120679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210303072).

120679680 is an abundant number, since it is smaller than the sum of its proper divisors (299926464).

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

120679680 is a wasteful number, since it uses less digits than its factorization.

120679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 120679680 is about 10985.4303511515. The cubic root of 120679680 is about 494.1719038727.

The spelling of 120679680 in words is "one hundred twenty million, six hundred seventy-nine thousand, six hundred eighty".