8257216 has 56 divisors (see below), whose sum is σ = 18416016. Its totient is φ = 3640320.

The previous prime is 8257177. The next prime is 8257217. The reversal of 8257216 is 6127528.

It is not an unprimeable number, because it can be changed into a prime (8257217) 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, 25890 + ... + 26206.

Almost surely, 2^8257216 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 8257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208008).

8257216 is an abundant number, since it is smaller than the sum of its proper divisors (10158800).

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

8257216 is a wasteful number, since it uses less digits than its factorization.

8257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 8257216 is about 2873.5371930775. The cubic root of 8257216 is about 202.1208961622.

The spelling of 8257216 in words is "eight million, two hundred fifty-seven thousand, two hundred sixteen".