68001 has 8 divisors (see below), whose sum is σ = 95520. Its totient is φ = 42912.

The previous prime is 67993. The next prime is 68023. The reversal of 68001 is 10086.

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

It is not a de Polignac number, because 68001 - 2³ = 67993 is a prime.

It is a super-3 number, since 3×68001³ = 943337616612003, which contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 540 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (11940).

2⁶⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

68001 is a deficient number, since it is larger than the sum of its proper divisors (27519).

68001 is a wasteful number, since it uses less digits than its factorization.

68001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 68001 is about 260.7700136135. The cubic root of 68001 is about 40.8167510993.

Adding to 68001 its reverse (10086), we get a palindrome (78087).

The spelling of 68001 in words is "sixty-eight thousand, one".