867200 has 48 divisors (see below), whose sum is σ = 2150160. Its totient is φ = 345600.

The previous prime is 867173. The next prime is 867203. The reversal of 867200 is 2768.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867200.

It is not an unprimeable number, because it can be changed into a prime (867203) by changing a digit.

867200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3065 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (44795).

2⁸⁶⁷²⁰⁰ is an apocalyptic number.

867200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075080).

867200 is an abundant number, since it is smaller than the sum of its proper divisors (1282960).

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

867200 is a wasteful number, since it uses less digits than its factorization.

867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 867200 is about 931.2357381458. The cubic root of 867200 is about 95.3615035122.

Adding to 867200 its reverse (2768), we get a palindrome (869968).

The spelling of 867200 in words is "eight hundred sixty-seven thousand, two hundred".