1689320448 has 308 divisors, whose sum is σ = 5298094528. Its totient is φ = 537477120.

The previous prime is 1689320431. The next prime is 1689320461. The reversal of 1689320448 is 8440239861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23141340 + ... + 23141412.

Almost surely, 2^1689320448 is an apocalyptic number.

1689320448 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 1689320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649047264).

1689320448 is an abundant number, since it is smaller than the sum of its proper divisors (3608774080).

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

1689320448 is an frugal number, since it uses more digits than its factorization.

1689320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

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

The square root of 1689320448 is about 41101.3436276723. The cubic root of 1689320448 is about 1190.9787508343.

The spelling of 1689320448 in words is "one billion, six hundred eighty-nine million, three hundred twenty thousand, four hundred forty-eight".