842508 has 48 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 270144.

The previous prime is 842507. The next prime is 842519. The reversal of 842508 is 805248.

842508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842508.

It is not an unprimeable number, because it can be changed into a prime (842507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2998 + ... + 3266.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁸⁴²⁵⁰⁸ 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 842508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

842508 is an abundant number, since it is smaller than the sum of its proper divisors (1425492).

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

842508 is a wasteful number, since it uses less digits than its factorization.

842508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 842508 is about 917.8823454016. The cubic root of 842508 is about 94.4476908791.

The spelling of 842508 in words is "eight hundred forty-two thousand, five hundred eight".