1685664 has 48 divisors (see below), whose sum is σ = 4919040. Its totient is φ = 561600.

The previous prime is 1685627. The next prime is 1685681. The reversal of 1685664 is 4665861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

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, 112 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (102480).

2^1685664 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 1685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459520).

1685664 is an abundant number, since it is smaller than the sum of its proper divisors (3233376).

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

1685664 is a wasteful number, since it uses less digits than its factorization.

1685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1956 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1685664 is about 1298.3312366265. The cubic root of 1685664 is about 119.0118859206.

It can be divided in two parts, 168 and 5664, that added together give a cube (5832 = 18³).

The spelling of 1685664 in words is "one million, six hundred eighty-five thousand, six hundred sixty-four".