67830 has 64 divisors (see below), whose sum is σ = 207360. Its totient is φ = 13824.

The previous prime is 67829. The next prime is 67843. The reversal of 67830 is 3876.

67830 is nontrivially palindromic in base 11.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3561 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2⁶⁷⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

67830 is an abundant number, since it is smaller than the sum of its proper divisors (139530).

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

67830 is a wasteful number, since it uses less digits than its factorization.

67830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53.

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

The square root of 67830 is about 260.4419321077. The cubic root of 67830 is about 40.7825088424.

The spelling of 67830 in words is "sixty-seven thousand, eight hundred thirty".