8000216 has 64 divisors (see below), whose sum is σ = 18470400. Its totient is φ = 3172608.

The previous prime is 8000189. The next prime is 8000219. The reversal of 8000216 is 6120008.

8000216 is nontrivially palindromic in base 11.

8000216 is a modest number, since divided by 216 gives 8 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 8000194 and 8000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77621 + ... + 77723.

It is an arithmetic number, because the mean of its divisors is an integer number (288600).

Almost surely, 2^8000216 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 8000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235200).

8000216 is an abundant number, since it is smaller than the sum of its proper divisors (10470184).

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

8000216 is a wasteful number, since it uses less digits than its factorization.

8000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8000216 is about 2828.4653082546. The cubic root of 8000216 is about 200.0017999838.

It can be divided in two parts, 8000 and 216, that multiplied together give a cube (1728000 = 120³).

The spelling of 8000216 in words is "eight million, two hundred sixteen", and thus it is an aban number.