1689088896 has 256 divisors, whose sum is σ = 5492332800. Its totient is φ = 506787840.

The previous prime is 1689088889. The next prime is 1689088901. The reversal of 1689088896 is 6988809861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5968371 + ... + 5968653.

It is an arithmetic number, because the mean of its divisors is an integer number (21454425).

Almost surely, 2^1689088896 is an apocalyptic number.

1689088896 is a gapful number since it is divisible by the number (16) 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 1689088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746166400).

1689088896 is an abundant number, since it is smaller than the sum of its proper divisors (3803243904).

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

1689088896 is a wasteful number, since it uses less digits than its factorization.

1689088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The square root of 1689088896 is about 41098.5266889216. The cubic root of 1689088896 is about 1190.9243332700.

The spelling of 1689088896 in words is "one billion, six hundred eighty-nine million, eighty-eight thousand, eight hundred ninety-six".