820903366 has 16 divisors (see below), whose sum is σ = 1247400000. Its totient is φ = 405113128.

The previous prime is 820903351. The next prime is 820903367. The reversal of 820903366 is 663309028.

It is a happy number.

It is a super-3 number, since 3×820903366³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820903367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247185 + ... + 250483.

It is an arithmetic number, because the mean of its divisors is an integer number (77962500).

Almost surely, 2^820903366 is an apocalyptic number.

820903366 is a deficient number, since it is larger than the sum of its proper divisors (426496634).

820903366 is a wasteful number, since it uses less digits than its factorization.

820903366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 820903366 is about 28651.4112392392. The cubic root of 820903366 is about 936.3337523049. Note that the first 3 decimals are identical.

The spelling of 820903366 in words is "eight hundred twenty million, nine hundred three thousand, three hundred sixty-six".