680550120 has 256 divisors, whose sum is σ = 2432332800. Its totient is φ = 168652800.

The previous prime is 680550061. The next prime is 680550127. The reversal of 680550120 is 21055086.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (680550127) 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, 1854177 + ... + 1854543.

It is an arithmetic number, because the mean of its divisors is an integer number (9501300).

Almost surely, 2^680550120 is an apocalyptic number.

680550120 is a gapful number since it is divisible by the number (60) 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 680550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216166400).

680550120 is an abundant number, since it is smaller than the sum of its proper divisors (1751782680).

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

680550120 is a wasteful number, since it uses less digits than its factorization.

680550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 680550120 is about 26087.3555578177. The cubic root of 680550120 is about 879.6030061931.

The spelling of 680550120 in words is "six hundred eighty million, five hundred fifty thousand, one hundred twenty".