1688320 has 36 divisors (see below), whose sum is σ = 4047120. Its totient is φ = 674816.

The previous prime is 1688317. The next prime is 1688327. The reversal of 1688320 is 238861.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1688327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621 + ... + 1939.

It is an arithmetic number, because the mean of its divisors is an integer number (112420).

2^1688320 is an apocalyptic number.

1688320 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 1688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023560).

1688320 is an abundant number, since it is smaller than the sum of its proper divisors (2358800).

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

1688320 is an equidigital number, since it uses as much as digits as its factorization.

1688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1688320 is about 1299.3536854914. The cubic root of 1688320 is about 119.0743597581.

The spelling of 1688320 in words is "one million, six hundred eighty-eight thousand, three hundred twenty".