68560 has 20 divisors (see below), whose sum is σ = 159588. Its totient is φ = 27392.

The previous prime is 68543. The next prime is 68567. The reversal of 68560 is 6586.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 21904 = 216^2 + 148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68567) 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 3 ways as a sum of consecutive naturals, for example, 349 + ... + 508.

2⁶⁸⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

68560 is an abundant number, since it is smaller than the sum of its proper divisors (91028).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794).

68560 is a wasteful number, since it uses less digits than its factorization.

68560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 68560 is about 261.8396455849. The cubic root of 68560 is about 40.9282902772.

It can be divided in two parts, 6 and 8560, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 68560 in words is "sixty-eight thousand, five hundred sixty".