67820 has 12 divisors (see below), whose sum is σ = 142464. Its totient is φ = 27120.

The previous prime is 67819. The next prime is 67829. The reversal of 67820 is 2876.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1676 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (11872).

2⁶⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

67820 is an abundant number, since it is smaller than the sum of its proper divisors (74644).

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 (71232).

67820 is a wasteful number, since it uses less digits than its factorization.

67820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 67820 is about 260.4227332627. The cubic root of 67820 is about 40.7805045909.

The spelling of 67820 in words is "sixty-seven thousand, eight hundred twenty".