683280 has 120 divisors (see below), whose sum is σ = 2505048. Its totient is φ = 165888.

The previous prime is 683273. The next prime is 683299. The reversal of 683280 is 82386.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 665856 = 132^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

683280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9324 + ... + 9396.

2⁶⁸³²⁸⁰ is an apocalyptic number.

683280 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 683280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252524).

683280 is an abundant number, since it is smaller than the sum of its proper divisors (1821768).

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

683280 is a wasteful number, since it uses less digits than its factorization.

683280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 683280 is about 826.6075247661. The cubic root of 683280 is about 88.0777549686.

Adding to 683280 its product of nonzero digits (2304), we get a square (685584 = 828²).

The spelling of 683280 in words is "six hundred eighty-three thousand, two hundred eighty".