120680658 has 128 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 32659200.

The previous prime is 120680657. The next prime is 120680669. The reversal of 120680658 is 856086021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120680653) 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 63 ways as a sum of consecutive naturals, for example, 1107108 + ... + 1107216.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2^120680658 is an apocalyptic number.

120680658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120680658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

120680658 is an abundant number, since it is smaller than the sum of its proper divisors (202455342).

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

120680658 is a wasteful number, since it uses less digits than its factorization.

120680658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

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

The square root of 120680658 is about 10985.4748645655. The cubic root of 120680658 is about 494.1732388083.

The spelling of 120680658 in words is "one hundred twenty million, six hundred eighty thousand, six hundred fifty-eight".