842585248 has 48 divisors (see below), whose sum is σ = 1752801120. Its totient is φ = 397598976.

The previous prime is 842585167. The next prime is 842585251.

842585248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842585198 and 842585207.

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, 165915 + ... + 170917.

It is an arithmetic number, because the mean of its divisors is an integer number (36516690).

Almost surely, 2^842585248 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 842585248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876400560).

842585248 is an abundant number, since it is smaller than the sum of its proper divisors (910215872).

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

842585248 is a wasteful number, since it uses less digits than its factorization.

842585248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5301 counting only the distinct ones).

The product of its digits is 819200, while the sum is 46.

The square root of 842585248 is about 29027.3189943543. The cubic root of 842585248 is about 944.5057736885.

The spelling of 842585248 in words is "eight hundred forty-two million, five hundred eighty-five thousand, two hundred forty-eight".