8291216 has 40 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 3941504.

The previous prime is 8291209. The next prime is 8291221. The reversal of 8291216 is 6121928.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49565 + ... + 49731.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 2^8291216 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 8291216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

8291216 is an abundant number, since it is smaller than the sum of its proper divisors (8582704).

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

8291216 is a wasteful number, since it uses less digits than its factorization.

8291216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 8291216 is about 2879.4471691629. The cubic root of 8291216 is about 202.3979346444.

It can be divided in two parts, 82912 and 16, that added together give a palindrome (82928).

The spelling of 8291216 in words is "eight million, two hundred ninety-one thousand, two hundred sixteen".