680160 has 96 divisors (see below), whose sum is σ = 2328480. Its totient is φ = 165888.

The previous prime is 680159. The next prime is 680161. The reversal of 680160 is 61086.

It is an interprime number because it is at equal distance from previous prime (680159) and next prime (680161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2⁶⁸⁰¹⁶⁰ is an apocalyptic number.

680160 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 680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240).

680160 is an abundant number, since it is smaller than the sum of its proper divisors (1648320).

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

680160 is a wasteful number, since it uses less digits than its factorization.

680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 680160 is about 824.7181336675. The cubic root of 680160 is about 87.9434898900.

The spelling of 680160 in words is "six hundred eighty thousand, one hundred sixty".