683520 has 80 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 180224.

The previous prime is 683513. The next prime is 683567. The reversal of 683520 is 25386.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7636 + ... + 7724.

It is an arithmetic number, because the mean of its divisors is an integer number (27621).

2⁶⁸³⁵²⁰ is an apocalyptic number.

683520 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 683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

683520 is an abundant number, since it is smaller than the sum of its proper divisors (1526160).

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

683520 is an equidigital number, since it uses as much as digits as its factorization.

683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 683520 is about 826.7526836969. The cubic root of 683520 is about 88.0880661083.

The spelling of 683520 in words is "six hundred eighty-three thousand, five hundred twenty".