840075642 has 48 divisors (see below), whose sum is σ = 2083623360. Its totient is φ = 239625216.

The previous prime is 840075641. The next prime is 840075653. The reversal of 840075642 is 246570048.

840075642 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 7 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 840075597 and 840075606.

It is not an unprimeable number, because it can be changed into a prime (840075641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75834 + ... + 86202.

It is an arithmetic number, because the mean of its divisors is an integer number (43408820).

Almost surely, 2^840075642 is an apocalyptic number.

840075642 is an abundant number, since it is smaller than the sum of its proper divisors (1243547718).

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

840075642 is a wasteful number, since it uses less digits than its factorization.

840075642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027 (or 11024 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 840075642 is about 28984.0584114785. The cubic root of 840075642 is about 943.5671171027.

The spelling of 840075642 in words is "eight hundred forty million, seventy-five thousand, six hundred forty-two".