842128 has 40 divisors (see below), whose sum is σ = 1908608. Its totient is φ = 352512.

The previous prime is 842113. The next prime is 842141. The reversal of 842128 is 821248.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8125 + ... + 8227.

2⁸⁴²¹²⁸ 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 842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954304).

842128 is an abundant number, since it is smaller than the sum of its proper divisors (1066480).

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

842128 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (842127) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (191).

842128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 842128 is about 917.6753238483. The cubic root of 842128 is about 94.4334890278.

The spelling of 842128 in words is "eight hundred forty-two thousand, one hundred twenty-eight".