1683144 has 48 divisors (see below), whose sum is σ = 4624620. Its totient is φ = 552960.

The previous prime is 1683113. The next prime is 1683169. The reversal of 1683144 is 4413861.

It can be written as a sum of positive squares in 2 ways, for example, as 1664100 + 19044 = 1290^2 + 138^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6864 + ... + 7104.

2^1683144 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 1683144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312310).

1683144 is an abundant number, since it is smaller than the sum of its proper divisors (2941476).

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

1683144 is a wasteful number, since it uses less digits than its factorization.

1683144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1683144 is about 1297.3603971141. The cubic root of 1683144 is about 118.9525503456.

The spelling of 1683144 in words is "one million, six hundred eighty-three thousand, one hundred forty-four".