1680000 has 160 divisors (see below), whose sum is σ = 6372960. Its totient is φ = 384000.

The previous prime is 1679981. The next prime is 1680013. The reversal of 1680000 is 861.

Added to its reverse (861) it gives a triangular number (1680861 = T₁₈₃₃).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239997 + ... + 240003.

It is an arithmetic number, because the mean of its divisors is an integer number (39831).

2^1680000 is an apocalyptic number.

1680000 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 1680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186480).

1680000 is an abundant number, since it is smaller than the sum of its proper divisors (4692960).

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

1680000 is an frugal number, since it uses more digits than its factorization.

1680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1680000 is about 1296.1481396816. The cubic root of 1680000 is about 118.8784390553.

Adding to 1680000 its reverse (861), we get a palindrome (1680861).

The spelling of 1680000 in words is "one million, six hundred eighty thousand".