842580 has 72 divisors (see below), whose sum is σ = 2655744. Its totient is φ = 216000.

The previous prime is 842551. The next prime is 842581. The reversal of 842580 is 85248.

842580 is a `hidden beast` number, since 84 + 2 + 580 = 666.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842580.

It is not an unprimeable number, because it can be changed into a prime (842581) by changing a digit.

842580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505 + ... + 5655.

2⁸⁴²⁵⁸⁰ 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 842580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327872).

842580 is an abundant number, since it is smaller than the sum of its proper divisors (1813164).

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

842580 is a wasteful number, since it uses less digits than its factorization.

842580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

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

The square root of 842580 is about 917.9215652767. The cubic root of 842580 is about 94.4503812749.

The spelling of 842580 in words is "eight hundred forty-two thousand, five hundred eighty".