1683168 has 48 divisors (see below), whose sum is σ = 4490640. Its totient is φ = 551936.

The previous prime is 1683113. The next prime is 1683169. The reversal of 1683168 is 8613861.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683169) 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 7 ways as a sum of consecutive naturals, for example, 8446 + ... + 8642.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

2^1683168 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 1683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245320).

1683168 is an abundant number, since it is smaller than the sum of its proper divisors (2807472).

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

1683168 is a wasteful number, since it uses less digits than its factorization.

1683168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1683168 is about 1297.3696466312. The cubic root of 1683168 is about 118.9531157256.

The spelling of 1683168 in words is "one million, six hundred eighty-three thousand, one hundred sixty-eight".