1682856 has 120 divisors (see below), whose sum is σ = 5586570. Its totient is φ = 471744.

The previous prime is 1682843. The next prime is 1682867. The reversal of 1682856 is 6582861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1285956 + 396900 = 1134^2 + 630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1682856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31726 + ... + 31778.

2^1682856 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 1682856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793285).

1682856 is an abundant number, since it is smaller than the sum of its proper divisors (3903714).

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

1682856 is a wasteful number, since it uses less digits than its factorization.

1682856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1682856 is about 1297.2493977644. The cubic root of 1682856 is about 118.9457653669.

The spelling of 1682856 in words is "one million, six hundred eighty-two thousand, eight hundred fifty-six".