842124006 has 32 divisors (see below), whose sum is σ = 1874383200. Its totient is φ = 280258560.

The previous prime is 842123987. The next prime is 842124007. The reversal of 842124006 is 600421248.

842124006 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (842124007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22450 + ... + 46778.

It is an arithmetic number, because the mean of its divisors is an integer number (58574475).

Almost surely, 2^842124006 is an apocalyptic number.

842124006 is an abundant number, since it is smaller than the sum of its proper divisors (1032259194).

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

842124006 is a wasteful number, since it uses less digits than its factorization.

842124006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24981 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 842124006 is about 29019.3729429152. The cubic root of 842124006 is about 944.3333973622. Note that the first 4 decimals are identical.

The spelling of 842124006 in words is "eight hundred forty-two million, one hundred twenty-four thousand, six".