67080 has 64 divisors (see below), whose sum is σ = 221760. Its totient is φ = 16128.

The previous prime is 67079. The next prime is 67103. The reversal of 67080 is 8076.

It is a Cunningham number, because it is equal to 259²-1.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

2⁶⁷⁰⁸⁰ is an apocalyptic number.

67080 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 67080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

67080 is an abundant number, since it is smaller than the sum of its proper divisors (154680).

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

67080 is a wasteful number, since it uses less digits than its factorization.

67080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 67080 is about 258.9980694909. The cubic root of 67080 is about 40.6316399403.

The spelling of 67080 in words is "sixty-seven thousand, eighty".