208840164 has 96 divisors (see below), whose sum is σ = 543105024. Its totient is φ = 62052480.

The previous prime is 208840157. The next prime is 208840187. The reversal of 208840164 is 461048802.

208840164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208840164² = 87228428199093792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093309 + ... + 1093499.

It is an arithmetic number, because the mean of its divisors is an integer number (5657344).

Almost surely, 2^208840164 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 208840164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271552512).

208840164 is an abundant number, since it is smaller than the sum of its proper divisors (334264860).

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

208840164 is a wasteful number, since it uses less digits than its factorization.

208840164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 208840164 is about 14451.3031938300. The cubic root of 208840164 is about 593.2958927966.

Adding to 208840164 its reverse (461048802), we get a palindrome (669888966).

The spelling of 208840164 in words is "two hundred eight million, eight hundred forty thousand, one hundred sixty-four".