1705664 has 28 divisors (see below), whose sum is σ = 3505200. Its totient is φ = 822528.

The previous prime is 1705637. The next prime is 1705667. The reversal of 1705664 is 4665071.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1705667) 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, 1397 + ... + 2315.

2^1705664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752600).

1705664 is an abundant number, since it is smaller than the sum of its proper divisors (1799536).

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

1705664 is an equidigital number, since it uses as much as digits as its factorization.

1705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1705664 is about 1306.0107197110. The cubic root of 1705664 is about 119.4807190988.

The spelling of 1705664 in words is "one million, seven hundred five thousand, six hundred sixty-four".