842004 has 36 divisors (see below), whose sum is σ = 2242240. Its totient is φ = 265680.

The previous prime is 842003. The next prime is 842021. The reversal of 842004 is 400248.

It is a happy number.

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).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69 + ... + 1299.

2⁸⁴²⁰⁰⁴ 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 842004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121120).

842004 is an abundant number, since it is smaller than the sum of its proper divisors (1400236).

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

842004 is a wasteful number, since it uses less digits than its factorization.

842004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 842004 is about 917.6077593395. The cubic root of 842004 is about 94.4288538151.

The spelling of 842004 in words is "eight hundred forty-two thousand, four".