8208216 has 80 divisors (see below), whose sum is σ = 23522400. Its totient is φ = 2673216.

The previous prime is 8208199. The next prime is 8208251. The reversal of 8208216 is 6128028.

8208216 = 53² + 54² + ... + 291².

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8208216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34225 + ... + 34463.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 2^8208216 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 8208216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761200).

8208216 is an abundant number, since it is smaller than the sum of its proper divisors (15314184).

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

8208216 is a wasteful number, since it uses less digits than its factorization.

8208216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

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

The square root of 8208216 is about 2864.9984293189. The cubic root of 8208216 is about 201.7202938532.

The spelling of 8208216 in words is "eight million, two hundred eight thousand, two hundred sixteen".