208112016 has 120 divisors (see below), whose sum is σ = 658454880. Its totient is φ = 56318976.

The previous prime is 208111999. The next prime is 208112029. The reversal of 208112016 is 610211802.

It is a super-2 number, since 2×208112016² = 86621222407168512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 208111983 and 208112001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42360 + ... + 47016.

It is an arithmetic number, because the mean of its divisors is an integer number (5487124).

Almost surely, 2^208112016 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 208112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329227440).

208112016 is an abundant number, since it is smaller than the sum of its proper divisors (450342864).

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

208112016 is a wasteful number, since it uses less digits than its factorization.

208112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 208112016 is about 14426.0880352229. The cubic root of 208112016 is about 592.6055557990.

Adding to 208112016 its reverse (610211802), we get a palindrome (818323818).

The spelling of 208112016 in words is "two hundred eight million, one hundred twelve thousand, sixteen".