8433216 has 105 divisors (see below), whose sum is σ = 26589355. Its totient is φ = 2555520.

The previous prime is 8433211. The next prime is 8433233. The reversal of 8433216 is 6123348.

It is a happy number.

The square root of 8433216 is 2904.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×8433216² = 142238264205312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

Its product of digits (3456) is a multiple of the sum of its prime divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 8433216.

It is not an unprimeable number, because it can be changed into a prime (8433211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 766651 + ... + 766661.

Almost surely, 2^8433216 is an apocalyptic number.

8433216 is the 2904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8433216

8433216 is an abundant number, since it is smaller than the sum of its proper divisors (18156139).

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

8433216 is an equidigital number, since it uses as much as digits as its factorization.

8433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The cubic root of 8433216 is about 203.5468604040.

It can be divided in two parts, 84332 and 16, that added together give a palindrome (84348).

The spelling of 8433216 in words is "eight million, four hundred thirty-three thousand, two hundred sixteen".