1689282320 has 80 divisors (see below), whose sum is σ = 4312277568. Its totient is φ = 610321920.

The previous prime is 1689282271. The next prime is 1689282337. The reversal of 1689282320 is 232829861.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132047 + ... + 144273.

Almost surely, 2^1689282320 is an apocalyptic number.

1689282320 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 1689282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156138784).

1689282320 is an abundant number, since it is smaller than the sum of its proper divisors (2622995248).

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

1689282320 is a wasteful number, since it uses less digits than its factorization.

1689282320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12408 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 1689282320 is about 41100.8797959362. The cubic root of 1689282320 is about 1190.9697906280.

The spelling of 1689282320 in words is "one billion, six hundred eighty-nine million, two hundred eighty-two thousand, three hundred twenty".