1688480 has 48 divisors (see below), whose sum is σ = 4077864. Its totient is φ = 660480.

The previous prime is 1688471. The next prime is 1688497. The reversal of 1688480 is 848861.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 425104 = 1124^2 + 652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1688480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9674 + ... + 9846.

2^1688480 is an apocalyptic number.

1688480 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 1688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038932).

1688480 is an abundant number, since it is smaller than the sum of its proper divisors (2389384).

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

1688480 is a wasteful number, since it uses less digits than its factorization.

1688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 1688480 is about 1299.4152531043. The cubic root of 1688480 is about 119.0781211492.

The spelling of 1688480 in words is "one million, six hundred eighty-eight thousand, four hundred eighty".