208611216 has 240 divisors, whose sum is σ = 690812928. Its totient is φ = 58060800.

The previous prime is 208611211. The next prime is 208611253. The reversal of 208611216 is 612116802.

208611216 is a `hidden beast` number, since 20 + 8 + 611 + 21 + 6 = 666.

208611216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 208611216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208611211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1642545 + ... + 1642671.

Almost surely, 2^208611216 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 208611216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345406464).

208611216 is an abundant number, since it is smaller than the sum of its proper divisors (482201712).

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

208611216 is a wasteful number, since it uses less digits than its factorization.

208611216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 208611216 is about 14443.3796598995. The cubic root of 208611216 is about 593.0790067130.

The spelling of 208611216 in words is "two hundred eight million, six hundred eleven thousand, two hundred sixteen".