8413216 has 72 divisors (see below), whose sum is σ = 20067264. Its totient is φ = 3400320.

The previous prime is 8413211. The next prime is 8413243. The reversal of 8413216 is 6123148.

It is not an unprimeable number, because it can be changed into a prime (8413211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118461 + ... + 118531.

It is an arithmetic number, because the mean of its divisors is an integer number (278712).

Almost surely, 2^8413216 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 8413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10033632).

8413216 is an abundant number, since it is smaller than the sum of its proper divisors (11654048).

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

8413216 is a wasteful number, since it uses less digits than its factorization.

8413216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 8413216 is about 2900.5544297599. The cubic root of 8413216 is about 203.3858241860.

It can be divided in two parts, 84132 and 16, that added together give a palindrome (84148).

The spelling of 8413216 in words is "eight million, four hundred thirteen thousand, two hundred sixteen".