867312 has 60 divisors (see below), whose sum is σ = 2563080. Its totient is φ = 273024.

The previous prime is 867301. The next prime is 867319. The reversal of 867312 is 213768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867319) by changing a digit.

867312 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 11 ways as a sum of consecutive naturals, for example, 2578 + ... + 2894.

It is an arithmetic number, because the mean of its divisors is an integer number (42718).

2⁸⁶⁷³¹² 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 867312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281540).

867312 is an abundant number, since it is smaller than the sum of its proper divisors (1695768).

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

867312 is a wasteful number, since it uses less digits than its factorization.

867312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 867312 is about 931.2958713535. The cubic root of 867312 is about 95.3656086892.

The spelling of 867312 in words is "eight hundred sixty-seven thousand, three hundred twelve".