68061 has 12 divisors (see below), whose sum is σ = 105792. Its totient is φ = 38808.

The previous prime is 68059. The next prime is 68071. The reversal of 68061 is 16086.

It is not a de Polignac number, because 68061 - 2¹ = 68059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

68061 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68061.

It is not an unprimeable number, because it can be changed into a prime (68041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (8816).

2⁶⁸⁰⁶¹ is an apocalyptic number.

It is an amenable number.

68061 is a deficient number, since it is larger than the sum of its proper divisors (37731).

68061 is a wasteful number, since it uses less digits than its factorization.

68061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

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

The square root of 68061 is about 260.8850321502. The cubic root of 68061 is about 40.8287523206.

It can be divided in two parts, 680 and 61, that added together give a triangular number (741 = T₃₈).

The spelling of 68061 in words is "sixty-eight thousand, sixty-one".