68004 has 18 divisors (see below), whose sum is σ = 171990. Its totient is φ = 22656.

The previous prime is 67993. The next prime is 68023. The reversal of 68004 is 40086.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 10404 = 240^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

68004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2⁶⁸⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

68004 is an abundant number, since it is smaller than the sum of its proper divisors (103986).

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

68004 is a wasteful number, since it uses less digits than its factorization.

68004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 68004 is about 260.7757657452. The cubic root of 68004 is about 40.8173513280.

The spelling of 68004 in words is "sixty-eight thousand, four".