67864 has 16 divisors (see below), whose sum is σ = 135000. Its totient is φ = 31872.

The previous prime is 67853. The next prime is 67867. The reversal of 67864 is 46876.

It is a plaindrome 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 3 ways as a sum of consecutive naturals, for example, 114 + ... + 385.

2⁶⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

67864 is a deficient number, since it is larger than the sum of its proper divisors (67136).

67864 is a wasteful number, since it uses less digits than its factorization.

67864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 67864 is about 260.5071975973. The cubic root of 67864 is about 40.7893218243.

The spelling of 67864 in words is "sixty-seven thousand, eight hundred sixty-four".