842565248 has 64 divisors (see below), whose sum is σ = 1926331200. Its totient is φ = 359596032.

The previous prime is 842565209. The next prime is 842565259.

842565248 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 842565199 and 842565208.

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, 228443 + ... + 232101.

It is an arithmetic number, because the mean of its divisors is an integer number (30098925).

Almost surely, 2^842565248 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 842565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963165600).

842565248 is an abundant number, since it is smaller than the sum of its proper divisors (1083765952).

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

842565248 is a wasteful number, since it uses less digits than its factorization.

842565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3925 counting only the distinct ones).

The product of its digits is 614400, while the sum is 44.

The square root of 842565248 is about 29026.9744892574. The cubic root of 842565248 is about 944.4983005516.

The spelling of 842565248 in words is "eight hundred forty-two million, five hundred sixty-five thousand, two hundred forty-eight".