208085416 has 128 divisors (see below), whose sum is σ = 534988800. Its totient is φ = 73370880.

The previous prime is 208085413. The next prime is 208085419. The reversal of 208085416 is 614580802.

It is an interprime number because it is at equal distance from previous prime (208085413) and next prime (208085419).

It is not an unprimeable number, because it can be changed into a prime (208085413) 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, 268806 + ... + 269578.

It is an arithmetic number, because the mean of its divisors is an integer number (4179600).

Almost surely, 2^208085416 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 208085416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267494400).

208085416 is an abundant number, since it is smaller than the sum of its proper divisors (326903384).

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

208085416 is a wasteful number, since it uses less digits than its factorization.

208085416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 208085416 is about 14425.1660649020. The cubic root of 208085416 is about 592.5803066091.

The spelling of 208085416 in words is "two hundred eight million, eighty-five thousand, four hundred sixteen".