1684128 has 48 divisors (see below), whose sum is σ = 4517856. Its totient is φ = 549120.

The previous prime is 1684127. The next prime is 1684169. The reversal of 1684128 is 8214861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1684095 and 1684104.

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, 4923 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (94122).

2^1684128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258928).

1684128 is an abundant number, since it is smaller than the sum of its proper divisors (2833728).

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

1684128 is a wasteful number, since it uses less digits than its factorization.

1684128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1684128 is about 1297.7395732581. The cubic root of 1684128 is about 118.9757265181.

Adding to 1684128 its reverse (8214861), we get a palindrome (9898989).

The spelling of 1684128 in words is "one million, six hundred eighty-four thousand, one hundred twenty-eight".