67980 has 48 divisors (see below), whose sum is σ = 209664. Its totient is φ = 16320.

The previous prime is 67979. The next prime is 67987. The reversal of 67980 is 8976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (67987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁶⁷⁹⁸⁰ is an apocalyptic number.

67980 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 67980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

67980 is an abundant number, since it is smaller than the sum of its proper divisors (141684).

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

67980 is a wasteful number, since it uses less digits than its factorization.

67980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67980 is about 260.7297451385. The cubic root of 67980 is about 40.8125490041.

The spelling of 67980 in words is "sixty-seven thousand, nine hundred eighty".