67380 has 24 divisors (see below), whose sum is σ = 188832. Its totient is φ = 17952.

The previous prime is 67369. The next prime is 67391. The reversal of 67380 is 8376.

It is an interprime number because it is at equal distance from previous prime (67369) and next prime (67391).

It is a self number, because there is not a number n which added to its sum of digits gives 67380.

It is a congruent number.

It is an unprimeable number.

67380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (7868).

2⁶⁷³⁸⁰ is an apocalyptic number.

67380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67380 is an abundant number, since it is smaller than the sum of its proper divisors (121452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94416).

67380 is a wasteful number, since it uses less digits than its factorization.

67380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 67380 is about 259.5765782963. The cubic root of 67380 is about 40.6921217800.

The spelling of 67380 in words is "sixty-seven thousand, three hundred eighty".