67704 has 64 divisors (see below), whose sum is σ = 215040. Its totient is φ = 17280.

The previous prime is 67699. The next prime is 67709. The reversal of 67704 is 40776.

It is an interprime number because it is at equal distance from previous prime (67699) and next prime (67709).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2169 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁶⁷⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

67704 is an abundant number, since it is smaller than the sum of its proper divisors (147336).

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

67704 is a wasteful number, since it uses less digits than its factorization.

67704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 67704 is about 260.1999231360. The cubic root of 67704 is about 40.7572408627.

The spelling of 67704 in words is "sixty-seven thousand, seven hundred four".