867000 has 96 divisors (see below), whose sum is σ = 2873520. Its totient is φ = 217600.

The previous prime is 866969. The next prime is 867001. The reversal of 867000 is 768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50992 + ... + 51008.

2⁸⁶⁷⁰⁰⁰ 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 867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436760).

867000 is an abundant number, since it is smaller than the sum of its proper divisors (2006520).

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

867000 is a wasteful number, since it uses less digits than its factorization.

867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 867000 is about 931.1283477588. The cubic root of 867000 is about 95.3541719596.

Adding to 867000 its reverse (768), we get a palindrome (867768).

The spelling of 867000 in words is "eight hundred sixty-seven thousand".