8849216 has 42 divisors (see below), whose sum is σ = 18226278. Its totient is φ = 4262400.

The previous prime is 8849201. The next prime is 8849219. The reversal of 8849216 is 6129488.

It can be written as a sum of positive squares in 3 ways, for example, as 7311616 + 1537600 = 2704^2 + 1240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8849216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8849219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87566 + ... + 87666.

It is an arithmetic number, because the mean of its divisors is an integer number (433959).

Almost surely, 2^8849216 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 8849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113139).

8849216 is an abundant number, since it is smaller than the sum of its proper divisors (9377062).

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

8849216 is a wasteful number, since it uses less digits than its factorization.

8849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 8849216 is about 2974.7631838518. The cubic root of 8849216 is about 206.8401918721.

The spelling of 8849216 in words is "eight million, eight hundred forty-nine thousand, two hundred sixteen".