827216 has 40 divisors (see below), whose sum is σ = 1786344. Its totient is φ = 368640.

The previous prime is 827213. The next prime is 827227. The reversal of 827216 is 612728.

827216 = 40² + 41² + ... + 136².

827216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 817216 = 100^2 + 904^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8480 + ... + 8576.

2⁸²⁷²¹⁶ 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 827216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893172).

827216 is an abundant number, since it is smaller than the sum of its proper divisors (959128).

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

827216 is a wasteful number, since it uses less digits than its factorization.

827216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 827216 is about 909.5141560196. The cubic root of 827216 is about 93.8727718926.

The spelling of 827216 in words is "eight hundred twenty-seven thousand, two hundred sixteen".