842534010 has 72 divisors (see below), whose sum is σ = 2245723740. Its totient is φ = 219156480.

The previous prime is 842533997. The next prime is 842534029. The reversal of 842534010 is 10435248.

842534010 is a `hidden beast` number, since 8 + 4 + 253 + 401 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 431649 + 842102361 = 657^2 + 29019^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148506 + ... + 154074.

Almost surely, 2^842534010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842534010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122861870).

842534010 is an abundant number, since it is smaller than the sum of its proper divisors (1403189730).

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

842534010 is a wasteful number, since it uses less digits than its factorization.

842534010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 842534010 is about 29026.4363985660. The cubic root of 842534010 is about 944.4866280223.

Adding to 842534010 its reverse (10435248), we get a palindrome (852969258).

The spelling of 842534010 in words is "eight hundred forty-two million, five hundred thirty-four thousand, ten".