1689132160 has 64 divisors (see below), whose sum is σ = 4053398400. Its totient is φ = 673090560.

The previous prime is 1689132139. The next prime is 1689132161. The reversal of 1689132160 is 612319861.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1689132161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168571 + ... + 178309.

It is an arithmetic number, because the mean of its divisors is an integer number (63334350).

Almost surely, 2^1689132160 is an apocalyptic number.

1689132160 is a gapful number since it is divisible by the number (10) 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 1689132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026699200).

1689132160 is an abundant number, since it is smaller than the sum of its proper divisors (2364266240).

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

1689132160 is an equidigital number, since it uses as much as digits as its factorization.

1689132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1689132160 is about 41099.0530304531. The cubic root of 1689132160 is about 1190.9345012192.

The spelling of 1689132160 in words is "one billion, six hundred eighty-nine million, one hundred thirty-two thousand, one hundred sixty".