1689410688 has 192 divisors, whose sum is σ = 5415808320. Its totient is φ = 457021440.

The previous prime is 1689410687. The next prime is 1689410711. The reversal of 1689410688 is 8860149861.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1689410688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689410687) 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, 969498 + ... + 971238.

It is an arithmetic number, because the mean of its divisors is an integer number (28207335).

Almost surely, 2^1689410688 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 1689410688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707904160).

1689410688 is an abundant number, since it is smaller than the sum of its proper divisors (3726397632).

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

1689410688 is a wasteful number, since it uses less digits than its factorization.

1689410688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 1689410688 is about 41102.4413873434. The cubic root of 1689410688 is about 1190.9999569963. Note that the first 4 decimals are identical.

The spelling of 1689410688 in words is "one billion, six hundred eighty-nine million, four hundred ten thousand, six hundred eighty-eight".