67580 has 24 divisors (see below), whose sum is σ = 147840. Its totient is φ = 25920.

The previous prime is 67579. The next prime is 67589. The reversal of 67580 is 8576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁶⁷⁵⁸⁰ 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 67580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920).

67580 is an abundant number, since it is smaller than the sum of its proper divisors (80260).

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

67580 is a wasteful number, since it uses less digits than its factorization.

67580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 67580 is about 259.9615356163. The cubic root of 67580 is about 40.7323433361.

The spelling of 67580 in words is "sixty-seven thousand, five hundred eighty".