820214020 has 48 divisors (see below), whose sum is σ = 1771451136. Its totient is φ = 318816000.

The previous prime is 820214009. The next prime is 820214041. The reversal of 820214020 is 20412028.

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 15 ways as a sum of consecutive naturals, for example, 220375 + ... + 224065.

It is an arithmetic number, because the mean of its divisors is an integer number (36905232).

Almost surely, 2^820214020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885725568).

820214020 is an abundant number, since it is smaller than the sum of its proper divisors (951237116).

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

820214020 is a wasteful number, since it uses less digits than its factorization.

820214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 820214020 is about 28639.3788340460. The cubic root of 820214020 is about 936.0715863748.

Adding to 820214020 its reverse (20412028), we get a palindrome (840626048).

It can be divided in two parts, 8202 and 14020, that added together give a palindrome (22222).

The spelling of 820214020 in words is "eight hundred twenty million, two hundred fourteen thousand, twenty".