68306 has 24 divisors (see below), whose sum is σ = 129276. Its totient is φ = 26880.

The previous prime is 68281. The next prime is 68311. The reversal of 68306 is 60386.

68306 = T₃₆ + T₃₇ + ... + T₇₆.

It can be written as a sum of positive squares in 2 ways, for example, as 67081 + 1225 = 259^2 + 35^2 .

68306 is a modest number, since divided by 306 gives 68 as remainder.

It is an unprimeable number.

68306 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 in 11 ways as a sum of consecutive naturals, for example, 1646 + ... + 1686.

2⁶⁸³⁰⁶ is an apocalyptic number.

68306 is a deficient number, since it is larger than the sum of its proper divisors (60970).

68306 is a wasteful number, since it uses less digits than its factorization.

68306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 68306 is about 261.3541658363. The cubic root of 68306 is about 40.8776842374.

The spelling of 68306 in words is "sixty-eight thousand, three hundred six".