1689434208 has 576 divisors, whose sum is σ = 6453457920. Its totient is φ = 406425600.

The previous prime is 1689434189. The next prime is 1689434213. The reversal of 1689434208 is 8024349861.

It is a happy number.

1689434208 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 434 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23794813 + ... + 23794883.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^1689434208 is an apocalyptic number.

1689434208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689434208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

1689434208 is an abundant number, since it is smaller than the sum of its proper divisors (4764023712).

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

1689434208 is a wasteful number, since it uses less digits than its factorization.

1689434208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1689434208 is about 41102.7275007389. The cubic root of 1689434208 is about 1191.0054840101.

The spelling of 1689434208 in words is "one billion, six hundred eighty-nine million, four hundred thirty-four thousand, two hundred eight".