842000 has 40 divisors (see below), whose sum is σ = 2040792. Its totient is φ = 336000.

The previous prime is 841987. The next prime is 842003. The reversal of 842000 is 248.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 595984 = 496^2 + 772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

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

842000 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 7 ways as a sum of consecutive naturals, for example, 1790 + ... + 2210.

2⁸⁴²⁰⁰⁰ is an apocalyptic number.

842000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020396).

842000 is an abundant number, since it is smaller than the sum of its proper divisors (1198792).

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

842000 is a wasteful number, since it uses less digits than its factorization.

842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 842000 is about 917.6055797564. The cubic root of 842000 is about 94.4287042845.

Adding to 842000 its reverse (248), we get a palindrome (842248).

The spelling of 842000 in words is "eight hundred forty-two thousand".