1689996000 has 768 divisors, whose sum is σ = 7245987840. Its totient is φ = 334080000.

The previous prime is 1689995987. The next prime is 1689996029. The reversal of 1689996000 is 6999861.

1689996000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28643971 + ... + 28644029.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^1689996000 is an apocalyptic number.

1689996000 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 1689996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622993920).

1689996000 is an abundant number, since it is smaller than the sum of its proper divisors (5555991840).

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

1689996000 is a wasteful number, since it uses less digits than its factorization.

1689996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 1689996000 is about 41109.5609317346. The cubic root of 1689996000 is about 1191.1374854415.

The spelling of 1689996000 in words is "one billion, six hundred eighty-nine million, nine hundred ninety-six thousand".