68961 has 8 divisors (see below), whose sum is σ = 93184. Its totient is φ = 45360.

The previous prime is 68947. The next prime is 68963. The reversal of 68961 is 16986.

68961 is nontrivially palindromic in base 2.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 68961 - 2⁶ = 68897 is a prime.

It is a super-3 number, since 3×68961³ = 983856833363043, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68963) 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 7 ways as a sum of consecutive naturals, for example, 291 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (11648).

2⁶⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

68961 is a deficient number, since it is larger than the sum of its proper divisors (24223).

68961 is a wasteful number, since it uses less digits than its factorization.

68961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its digits is 2592, while the sum is 30.

The square root of 68961 is about 262.6042650073. The cubic root of 68961 is about 41.0079302527.

The spelling of 68961 in words is "sixty-eight thousand, nine hundred sixty-one".