683760 has 160 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 138240.

The previous prime is 683759. The next prime is 683777. The reversal of 683760 is 67386.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 18462 + ... + 18498.

2⁶⁸³⁷⁶⁰ is an apocalyptic number.

683760 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 683760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056).

683760 is an abundant number, since it is smaller than the sum of its proper divisors (2030352).

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

683760 is a wasteful number, since it uses less digits than its factorization.

683760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 683760 is about 826.8978171455. The cubic root of 683760 is about 88.0983748347.

It can be divided in two parts, 68 and 3760, that added together give a triangular number (3828 = T₈₇).

The spelling of 683760 in words is "six hundred eighty-three thousand, seven hundred sixty".