1689968000 has 256 divisors, whose sum is σ = 4888166400. Its totient is φ = 569088000.

The previous prime is 1689967963. The next prime is 1689968003. The reversal of 1689968000 is 8699861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689968003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8847905 + ... + 8848095.

It is an arithmetic number, because the mean of its divisors is an integer number (19094400).

Almost surely, 2^1689968000 is an apocalyptic number.

1689968000 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 1689968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444083200).

1689968000 is an abundant number, since it is smaller than the sum of its proper divisors (3198198400).

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

1689968000 is an equidigital number, since it uses as much as digits as its factorization.

1689968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 1689968000 is about 41109.2203769422. The cubic root of 1689968000 is about 1191.1309071155.

The spelling of 1689968000 in words is "one billion, six hundred eighty-nine million, nine hundred sixty-eight thousand".