873216 has 54 divisors (see below), whose sum is σ = 2524340. Its totient is φ = 290304.

The previous prime is 873209. The next prime is 873247. The reversal of 873216 is 612378.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 873216.

It is an unprimeable number.

873216 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, 2115 + ... + 2493.

2⁸⁷³²¹⁶ 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 873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262170).

873216 is an abundant number, since it is smaller than the sum of its proper divisors (1651124).

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

873216 is a wasteful number, since it uses less digits than its factorization.

873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

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

The square root of 873216 is about 934.4602720287. The cubic root of 873216 is about 95.5815116877.

It can be divided in two parts, 873 and 216, that added together give a square (1089 = 33²).

The spelling of 873216 in words is "eight hundred seventy-three thousand, two hundred sixteen".