683640 has 80 divisors (see below), whose sum is σ = 2308680. Its totient is φ = 181440.

The previous prime is 683603. The next prime is 683651. The reversal of 683640 is 46386.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

683640 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 19 ways as a sum of consecutive naturals, for example, 3135 + ... + 3345.

2⁶⁸³⁶⁴⁰ is an apocalyptic number.

683640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154340).

683640 is an abundant number, since it is smaller than the sum of its proper divisors (1625040).

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

683640 is a wasteful number, since it uses less digits than its factorization.

683640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 683640 is about 826.8252536056. The cubic root of 683640 is about 88.0932207731.

The spelling of 683640 in words is "six hundred eighty-three thousand, six hundred forty".