819216 has 30 divisors (see below), whose sum is σ = 2293070. Its totient is φ = 273024.

The previous prime is 819187. The next prime is 819229. The reversal of 819216 is 612918.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 9216 = 900^2 + 96^2 .

It is a super-2 number, since 2×819216² = 1342229709312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 819216.

It is an unprimeable number.

819216 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, 2701 + ... + 2988.

2⁸¹⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

819216 is an abundant number, since it is smaller than the sum of its proper divisors (1473854).

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

819216 is a wasteful number, since it uses less digits than its factorization.

819216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5694 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 819216 is about 905.1055187104. The cubic root of 819216 is about 93.5691767892.

It can be divided in two parts, 8192 and 16, that multiplied together give a 17-th power (131072 = 2¹⁷).

The spelling of 819216 in words is "eight hundred nineteen thousand, two hundred sixteen".