68000 has 48 divisors (see below), whose sum is σ = 176904. Its totient is φ = 25600.

The previous prime is 67993. The next prime is 68023. The reversal of 68000 is 86.

68000 = T₂₄ + T₂₅ + ... + T₇₄.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 38416 = 172^2 + 196^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3992 + ... + 4008.

2⁶⁸⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

68000 is an abundant number, since it is smaller than the sum of its proper divisors (108904).

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

68000 is a wasteful number, since it uses less digits than its factorization.

68000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 68000 is about 260.7680962081. The cubic root of 68000 is about 40.8165510192.

Adding to 68000 its reverse (86), we get a palindrome (68086).

The spelling of 68000 in words is "sixty-eight thousand".