1689053184 has 576 divisors, whose sum is σ = 6439305600. Its totient is φ = 414056448.

The previous prime is 1689053117. The next prime is 1689053189. The reversal of 1689053184 is 4813509861.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689053189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31868902 + ... + 31868954.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2^1689053184 is an apocalyptic number.

1689053184 is a gapful number since it is divisible by the number (14) 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 1689053184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

1689053184 is an abundant number, since it is smaller than the sum of its proper divisors (4750252416).

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

1689053184 is a wasteful number, since it uses less digits than its factorization.

1689053184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1689053184 is about 41098.0922184960. The cubic root of 1689053184 is about 1190.9159400686.

The spelling of 1689053184 in words is "one billion, six hundred eighty-nine million, fifty-three thousand, one hundred eighty-four".