668160 has 120 divisors (see below), whose sum is σ = 2393820. Its totient is φ = 172032.

The previous prime is 668159. The next prime is 668179. The reversal of 668160 is 61866.

668160 = T₂₀₀ + T₂₀₁ + ... + T₂₂₈.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 2304 = 816^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 668160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23026 + ... + 23054.

2⁶⁶⁸¹⁶⁰ is an apocalyptic number.

668160 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 668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196910).

668160 is an abundant number, since it is smaller than the sum of its proper divisors (1725660).

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

668160 is a wasteful number, since it uses less digits than its factorization.

668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 668160 is about 817.4105455645. The cubic root of 668160 is about 87.4232251724.

It can be divided in two parts, 668 and 160, that added together give a palindrome (828).

The spelling of 668160 in words is "six hundred sixty-eight thousand, one hundred sixty".