1682820 has 36 divisors (see below), whose sum is σ = 5105100. Its totient is φ = 448704.

The previous prime is 1682809. The next prime is 1682827. The reversal of 1682820 is 282861.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 617796 = 1032^2 + 786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4495 + ... + 4854.

2^1682820 is an apocalyptic number.

1682820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682820 is an abundant number, since it is smaller than the sum of its proper divisors (3422280).

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

1682820 is a wasteful number, since it uses less digits than its factorization.

1682820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364 (or 9359 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1682820 is about 1297.2355221778. The cubic root of 1682820 is about 118.9449171901.

The spelling of 1682820 in words is "one million, six hundred eighty-two thousand, eight hundred twenty".