680073168 has 80 divisors (see below), whose sum is σ = 1877826240. Its totient is φ = 211335168.

The previous prime is 680073161. The next prime is 680073169. The reversal of 680073168 is 861370086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680073161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83418 + ... + 91206.

It is an arithmetic number, because the mean of its divisors is an integer number (23472828).

Almost surely, 2^680073168 is an apocalyptic number.

680073168 is a gapful number since it is divisible by the number (68) 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 680073168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938913120).

680073168 is an abundant number, since it is smaller than the sum of its proper divisors (1197753072).

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

680073168 is a wasteful number, since it uses less digits than its factorization.

680073168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 680073168 is about 26078.2125154313. The cubic root of 680073168 is about 879.3974732253.

The spelling of 680073168 in words is "six hundred eighty million, seventy-three thousand, one hundred sixty-eight".