683408 has 30 divisors (see below), whose sum is σ = 1459542. Its totient is φ = 309760.

The previous prime is 683407. The next prime is 683437. The reversal of 683408 is 804386.

It can be written as a sum of positive squares in only one way, i.e., 559504 + 123904 = 748^2 + 352^2 .

It is a super-5 number, since 5×683408⁵ (a number of 30 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1760 + ... + 2112.

2⁶⁸³⁴⁰⁸ 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 683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729771).

683408 is an abundant number, since it is smaller than the sum of its proper divisors (776134).

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

683408 is a wasteful number, since it uses less digits than its factorization.

683408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 683408 is about 826.6849460345. The cubic root of 683408 is about 88.0832545435.

The spelling of 683408 in words is "six hundred eighty-three thousand, four hundred eight".