706008042 has 128 divisors (see below), whose sum is σ = 1710720000. Its totient is φ = 215130816.

The previous prime is 706008019. The next prime is 706008047. The reversal of 706008042 is 240800607.

706008042 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 a junction number, because it is equal to n+sod(n) for n = 706007997 and 706008015.

It is not an unprimeable number, because it can be changed into a prime (706008047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6477084 + ... + 6477192.

It is an arithmetic number, because the mean of its divisors is an integer number (13365000).

Almost surely, 2^706008042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706008042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855360000).

706008042 is an abundant number, since it is smaller than the sum of its proper divisors (1004711958).

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

706008042 is a wasteful number, since it uses less digits than its factorization.

706008042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 706008042 is about 26570.8118430732. The cubic root of 706008042 is about 890.4370373867.

Adding to 706008042 its reverse (240800607), we get a palindrome (946808649).

The spelling of 706008042 in words is "seven hundred six million, eight thousand, forty-two".