67680 has 72 divisors (see below), whose sum is σ = 235872. Its totient is φ = 17664.

The previous prime is 67679. The next prime is 67699. The reversal of 67680 is 8676.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁶⁷⁶⁸⁰ is an apocalyptic number.

67680 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 67680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

67680 is an abundant number, since it is smaller than the sum of its proper divisors (168192).

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

67680 is a wasteful number, since it uses less digits than its factorization.

67680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67680 is about 260.1538006641. The cubic root of 67680 is about 40.7524243605.

Adding to 67680 its product of nonzero digits (2016), we get a palindrome (69696).

It can be divided in two parts, 67 and 680, that added together give a palindrome (747).

The spelling of 67680 in words is "sixty-seven thousand, six hundred eighty".