683936 has 48 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 295680.

The previous prime is 683933. The next prime is 683939. The reversal of 683936 is 639386.

683936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (683933) and next prime (683939).

It is a junction number, because it is equal to n+sod(n) for n = 683896 and 683905.

It is not an unprimeable number, because it can be changed into a prime (683933) 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, 10175 + ... + 10241.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁶⁸³⁹³⁶ 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 683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

683936 is an abundant number, since it is smaller than the sum of its proper divisors (858304).

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

683936 is a wasteful number, since it uses less digits than its factorization.

683936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 683936 is about 827.0042321536. The cubic root of 683936 is about 88.1059330343.

It can be divided in two parts, 68 and 3936, that added together give a palindrome (4004).

The spelling of 683936 in words is "six hundred eighty-three thousand, nine hundred thirty-six".