208701216 has 72 divisors (see below), whose sum is σ = 595016604. Its totient is φ = 69388800.

The previous prime is 208701203. The next prime is 208701221. The reversal of 208701216 is 612107802.

It can be written as a sum of positive squares in 2 ways, for example, as 139145616 + 69555600 = 11796^2 + 8340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 self number, because there is not a number n which added to its sum of digits gives 208701216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159766 + ... + 161066.

Almost surely, 2^208701216 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 208701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297508302).

208701216 is an abundant number, since it is smaller than the sum of its proper divisors (386315388).

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

208701216 is a wasteful number, since it uses less digits than its factorization.

208701216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 208701216 is about 14446.4949382194. The cubic root of 208701216 is about 593.1642840652.

The spelling of 208701216 in words is "two hundred eight million, seven hundred one thousand, two hundred sixteen".