680144 has 10 divisors (see below), whose sum is σ = 1317810. Its totient is φ = 340064.

The previous prime is 680129. The next prime is 680159. The reversal of 680144 is 441086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (680129) and next prime (680159).

It can be written as a sum of positive squares in only one way, i.e., 672400 + 7744 = 820^2 + 88^2 .

It is a congruent number.

It is an unprimeable number.

680144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 21239 + ... + 21270.

It is an arithmetic number, because the mean of its divisors is an integer number (131781).

2⁶⁸⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

680144 is a deficient number, since it is larger than the sum of its proper divisors (637666).

680144 is a wasteful number, since it uses less digits than its factorization.

680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42517 (or 42511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 680144 is about 824.7084333266. The cubic root of 680144 is about 87.9428002940.

The spelling of 680144 in words is "six hundred eighty thousand, one hundred forty-four".