67804 has 24 divisors (see below), whose sum is σ = 137088. Its totient is φ = 29040.

The previous prime is 67801. The next prime is 67807. The reversal of 67804 is 40876.

67804 = T₆₅ + T₆₆ + ... + T₈₇.

It is an interprime number because it is at equal distance from previous prime (67801) and next prime (67807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67801) 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 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2⁶⁷⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

67804 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (68544).

67804 is a wasteful number, since it uses less digits than its factorization.

67804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 67804 is about 260.3920121663. The cubic root of 67804 is about 40.7772973787. Note that the first 3 decimals are identical.

The spelling of 67804 in words is "sixty-seven thousand, eight hundred four".