820242186 has 16 divisors (see below), whose sum is σ = 1640930400. Its totient is φ = 273339728.

The previous prime is 820242149. The next prime is 820242191. The reversal of 820242186 is 681242028.

It is a happy number.

820242186 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8320 + ... + 41348.

It is an arithmetic number, because the mean of its divisors is an integer number (102558150).

Almost surely, 2^820242186 is an apocalyptic number.

820242186 is an abundant number, since it is smaller than the sum of its proper divisors (820688214).

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

820242186 is a wasteful number, since it uses less digits than its factorization.

820242186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37173.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 820242186 is about 28639.8705653500. The cubic root of 820242186 is about 936.0823010947.

The spelling of 820242186 in words is "eight hundred twenty million, two hundred forty-two thousand, one hundred eighty-six".