820871324 has 72 divisors (see below), whose sum is σ = 1816165008. Its totient is φ = 321753600.

The previous prime is 820871323. The next prime is 820871329. The reversal of 820871324 is 423178028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820871321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 286499 + ... + 289349.

It is an arithmetic number, because the mean of its divisors is an integer number (25224514).

Almost surely, 2^820871324 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 820871324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908082504).

820871324 is an abundant number, since it is smaller than the sum of its proper divisors (995293684).

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

820871324 is a wasteful number, since it uses less digits than its factorization.

820871324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 820871324 is about 28650.8520641184. The cubic root of 820871324 is about 936.3215696300.

The spelling of 820871324 in words is "eight hundred twenty million, eight hundred seventy-one thousand, three hundred twenty-four".