8640216 has 128 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 2488320.

The previous prime is 8640211. The next prime is 8640221. The reversal of 8640216 is 6120468.

8640216 is a `hidden beast` number, since 8 + 640 + 2 + 16 = 666.

8640216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8640211) and next prime (8640221).

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 8640216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8640211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47646 + ... + 47826.

Almost surely, 2^8640216 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 8640216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

8640216 is an abundant number, since it is smaller than the sum of its proper divisors (18878184).

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

8640216 is a wasteful number, since it uses less digits than its factorization.

8640216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8640216 is about 2939.4244334563. The cubic root of 8640216 is about 205.1988235629.

The spelling of 8640216 in words is "eight million, six hundred forty thousand, two hundred sixteen".