680348160 has 400 divisors, whose sum is σ = 2593501416. Its totient is φ = 169869312.

The previous prime is 680348113. The next prime is 680348161. The reversal of 680348160 is 61843086.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 550934784 + 129413376 = 23472^2 + 11376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (680348161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3525024 + ... + 3525216.

Almost surely, 2^680348160 is an apocalyptic number.

680348160 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 680348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296750708).

680348160 is an abundant number, since it is smaller than the sum of its proper divisors (1913153256).

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

680348160 is a wasteful number, since it uses less digits than its factorization.

680348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 680348160 is about 26083.4844298073. The cubic root of 680348160 is about 879.5159872783.

The spelling of 680348160 in words is "six hundred eighty million, three hundred forty-eight thousand, one hundred sixty".