1688064 has 80 divisors (see below), whose sum is σ = 5172288. Its totient is φ = 479232.

The previous prime is 1688047. The next prime is 1688069. The reversal of 1688064 is 4608861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10674 + ... + 10830.

2^1688064 is an apocalyptic number.

1688064 is a gapful number since it is divisible by the number (14) 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 1688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586144).

1688064 is an abundant number, since it is smaller than the sum of its proper divisors (3484224).

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

1688064 is an equidigital number, since it uses as much as digits as its factorization.

1688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1688064 is about 1299.2551712424. The cubic root of 1688064 is about 119.0683410379.

The spelling of 1688064 in words is "one million, six hundred eighty-eight thousand, sixty-four".