67104 has 36 divisors (see below), whose sum is σ = 191646. Its totient is φ = 22272.

The previous prime is 67103. The next prime is 67121. The reversal of 67104 is 40176.

67104 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 3600 = 252^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

67104 is an undulating number in base 11.

It is not an unprimeable number, because it can be changed into a prime (67103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172 + ... + 404.

2⁶⁷¹⁰⁴ 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 67104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95823).

67104 is an abundant number, since it is smaller than the sum of its proper divisors (124542).

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

67104 is a wasteful number, since it uses less digits than its factorization.

67104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 67104 is about 259.0443977391. The cubic root of 67104 is about 40.6364851156.

It can be divided in two parts, 67 and 104, that added together give a palindrome (171).

The spelling of 67104 in words is "sixty-seven thousand, one hundred four".