67860 has 72 divisors (see below), whose sum is σ = 229320. Its totient is φ = 16128.

The previous prime is 67853. The next prime is 67867. The reversal of 67860 is 6876.

It is an interprime number because it is at equal distance from previous prime (67853) and next prime (67867).

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 66564 = 36^2 + 258^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2⁶⁷⁸⁶⁰ is an apocalyptic number.

67860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 260×261.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

67860 is an abundant number, since it is smaller than the sum of its proper divisors (161460).

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

67860 is a wasteful number, since it uses less digits than its factorization.

67860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

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

The square root of 67860 is about 260.4995201531. The cubic root of 67860 is about 40.7885204151.

The spelling of 67860 in words is "sixty-seven thousand, eight hundred sixty".