1683408 has 40 divisors (see below), whose sum is σ = 4606848. Its totient is φ = 527872.

The previous prime is 1683403. The next prime is 1683433. The reversal of 1683408 is 8043861.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683403) 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, 216 + ... + 1847.

2^1683408 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 1683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303424).

1683408 is an abundant number, since it is smaller than the sum of its proper divisors (2923440).

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

1683408 is a wasteful number, since it uses less digits than its factorization.

1683408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1683408 is about 1297.4621381759. The cubic root of 1683408 is about 118.9587692295.

The spelling of 1683408 in words is "one million, six hundred eighty-three thousand, four hundred eight".