1680084 has 72 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 467712.

The previous prime is 1680079. The next prime is 1680089. The reversal of 1680084 is 4800861.

It is an interprime number because it is at equal distance from previous prime (1680079) and next prime (1680089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14812 + ... + 14924.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2^1680084 is an apocalyptic number.

1680084 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 1680084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489760).

1680084 is an abundant number, since it is smaller than the sum of its proper divisors (3299436).

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

1680084 is a wasteful number, since it uses less digits than its factorization.

1680084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

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

The square root of 1680084 is about 1296.1805429800. The cubic root of 1680084 is about 118.8804203296.

The spelling of 1680084 in words is "one million, six hundred eighty thousand, eighty-four".