208834164 has 72 divisors (see below), whose sum is σ = 658152768. Its totient is φ = 54241920.

The previous prime is 208834163. The next prime is 208834177. The reversal of 208834164 is 461438802.

208834164 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 2×208834164² = 87223416107157792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208834163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34897 + ... + 40440.

Almost surely, 2^208834164 is an apocalyptic number.

It is an amenable number.

208834164 is an abundant number, since it is smaller than the sum of its proper divisors (449318604).

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

208834164 is a wasteful number, since it uses less digits than its factorization.

208834164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75365 (or 75360 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 208834164 is about 14451.0955986043. The cubic root of 208834164 is about 593.2902109243.

The spelling of 208834164 in words is "two hundred eight million, eight hundred thirty-four thousand, one hundred sixty-four".