820386032 has 20 divisors (see below), whose sum is σ = 1616440440. Its totient is φ = 403240128.

The previous prime is 820386001. The next prime is 820386067. The reversal of 820386032 is 230683028.

It is a happy number.

It is a super-4 number, since 4×820386032⁴ (a number of 37 digits) contains 4444 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 820386032.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 433583 + ... + 435470.

It is an arithmetic number, because the mean of its divisors is an integer number (80822022).

Almost surely, 2^820386032 is an apocalyptic number.

It is an amenable number.

820386032 is a deficient number, since it is larger than the sum of its proper divisors (796054408).

820386032 is a wasteful number, since it uses less digits than its factorization.

820386032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869120 (or 869114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 820386032 is about 28642.3817445407. The cubic root of 820386032 is about 936.1370181959.

The spelling of 820386032 in words is "eight hundred twenty million, three hundred eighty-six thousand, thirty-two".