1680120 has 96 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 412416.

The previous prime is 1680103. The next prime is 1680121. The reversal of 1680120 is 210861.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1680093 and 1680102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4501 + ... + 4859.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2^1680120 is an apocalyptic number.

1680120 is a gapful number since it is divisible by the number (10) 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 1680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

1680120 is an abundant number, since it is smaller than the sum of its proper divisors (4216680).

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

1680120 is a wasteful number, since it uses less digits than its factorization.

1680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1680120 is about 1296.1944298600. The cubic root of 1680120 is about 118.8812694269.

Adding to 1680120 its reverse (210861), we get a palindrome (1890981).

The spelling of 1680120 in words is "one million, six hundred eighty thousand, one hundred twenty".