208816 has 20 divisors (see below), whose sum is σ = 418624. Its totient is φ = 100800.

The previous prime is 208807. The next prime is 208837. The reversal of 208816 is 618802.

208816 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286 + ... + 706.

2²⁰⁸⁸¹⁶ 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 208816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209312).

208816 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

208816 is a wasteful number, since it uses less digits than its factorization.

208816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 208816 is about 456.9638935408. The cubic root of 208816 is about 59.3273009339.

It can be divided in two parts, 208 and 816, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 208816 in words is "two hundred eight thousand, eight hundred sixteen".