820185950 has 24 divisors (see below), whose sum is σ = 1526306328. Its totient is φ = 327910880.

The previous prime is 820185937. The next prime is 820185973. The reversal of 820185950 is 59581028.

820185950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174329 + ... + 178971.

It is an arithmetic number, because the mean of its divisors is an integer number (63596097).

Almost surely, 2^820185950 is an apocalyptic number.

820185950 is a deficient number, since it is larger than the sum of its proper divisors (706120378).

820185950 is a wasteful number, since it uses less digits than its factorization.

820185950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 820185950 is about 28638.8887703416. Note that the first 3 decimals coincide. The cubic root of 820185950 is about 936.0609079305.

The spelling of 820185950 in words is "eight hundred twenty million, one hundred eighty-five thousand, nine hundred fifty".