867328 has 66 divisors (see below), whose sum is σ = 2178008. Its totient is φ = 337920.

The previous prime is 867319. The next prime is 867337. The reversal of 867328 is 823768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (867319) and next prime (867337).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 867293 and 867302.

It is a congruent number.

It is an unprimeable number.

867328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 78843 + ... + 78853.

867328 is a Friedman number, since it can be written as (8*(36+8))^2*7, using all its digits and the basic arithmetic operations.

2⁸⁶⁷³²⁸ is an apocalyptic number.

867328 is a gapful number since it is divisible by the number (88) 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 867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089004).

867328 is an abundant number, since it is smaller than the sum of its proper divisors (1310680).

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

867328 is a wasteful number, since it uses less digits than its factorization.

867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 20 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 867328 is about 931.3044614947. The cubic root of 867328 is about 95.3661951142.

Multiplying 867328 by its product of digits (16128), we get a square (13988265984 = 118272²).

The spelling of 867328 in words is "eight hundred sixty-seven thousand, three hundred twenty-eight".