1684120 has 32 divisors (see below), whose sum is σ = 3849120. Its totient is φ = 663040.

The previous prime is 1684099. The next prime is 1684127. The reversal of 1684120 is 214861.

It is a junction number, because it is equal to n+sod(n) for n = 1684091 and 1684100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (120285).

2^1684120 is an apocalyptic number.

1684120 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 1684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924560).

1684120 is an abundant number, since it is smaller than the sum of its proper divisors (2165000).

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

1684120 is a wasteful number, since it uses less digits than its factorization.

1684120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1684120 is about 1297.7364909719. The cubic root of 1684120 is about 118.9755381304.

Adding to 1684120 its reverse (214861), we get a palindrome (1898981).

It can be divided in two parts, 16841 and 20, that added together give a palindrome (16861).

The spelling of 1684120 in words is "one million, six hundred eighty-four thousand, one hundred twenty".