8216208 has 320 divisors, whose sum is σ = 33331200. Its totient is φ = 1866240.

The previous prime is 8216179. The next prime is 8216231. The reversal of 8216208 is 8026128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432423 + ... + 432441.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^8216208 is an apocalyptic number.

8216208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8216208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

8216208 is an abundant number, since it is smaller than the sum of its proper divisors (25114992).

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

8216208 is a wasteful number, since it uses less digits than its factorization.

8216208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8216208 is about 2866.3928551404. The cubic root of 8216208 is about 201.7857415153.

It can be divided in two parts, 82 and 16208, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 8216208 in words is "eight million, two hundred sixteen thousand, two hundred eight".