67280 has 30 divisors (see below), whose sum is σ = 162006. Its totient is φ = 25984.

The previous prime is 67273. The next prime is 67289. The reversal of 67280 is 8276.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 59536 = 88^2 + 244^2 .

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67289) by changing a digit.

67280 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 5 ways as a sum of consecutive naturals, for example, 2306 + ... + 2334.

2⁶⁷²⁸⁰ 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 67280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81003).

67280 is an abundant number, since it is smaller than the sum of its proper divisors (94726).

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

67280 is a wasteful number, since it uses less digits than its factorization.

67280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 67280 is about 259.3838853900. The cubic root of 67280 is about 40.6719811502.

The spelling of 67280 in words is "sixty-seven thousand, two hundred eighty".