1689220000 has 240 divisors, whose sum is σ = 4587687720. Its totient is φ = 608256000.

The previous prime is 1689219971. The next prime is 1689220009. The reversal of 1689220000 is 229861.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 1201870224 + 487349776 = 34668^2 + 22076^2 .

It is not an unprimeable number, because it can be changed into a prime (1689220009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18979956 + ... + 18980044.

Almost surely, 2^1689220000 is an apocalyptic number.

1689220000 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 1689220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293843860).

1689220000 is an abundant number, since it is smaller than the sum of its proper divisors (2898467720).

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

1689220000 is an equidigital number, since it uses as much as digits as its factorization.

1689220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1689220000 is about 41100.1216543212. The cubic root of 1689220000 is about 1190.9551449312.

Adding to 1689220000 its reverse (229861), we get a palindrome (1689449861).

The spelling of 1689220000 in words is "one billion, six hundred eighty-nine million, two hundred twenty thousand".