67000 has 32 divisors (see below), whose sum is σ = 159120. Its totient is φ = 26400.

The previous prime is 66977. The next prime is 67003. The reversal of 67000 is 76.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67003) 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, 967 + ... + 1033.

2⁶⁷⁰⁰⁰ 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 67000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560).

67000 is an abundant number, since it is smaller than the sum of its proper divisors (92120).

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

67000 is a wasteful number, since it uses less digits than its factorization.

67000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 67000 is about 258.8435821109. The cubic root of 67000 is about 40.6154810045.

Adding to 67000 its reverse (76), we get a palindrome (67076).

The spelling of 67000 in words is "sixty-seven thousand".