820321026 has 64 divisors (see below), whose sum is σ = 1990759680. Its totient is φ = 219985920.

The previous prime is 820320983. The next prime is 820321027. The reversal of 820321026 is 620123028.

It is a junction number, because it is equal to n+sod(n) for n = 820320987 and 820321005.

It is not an unprimeable number, because it can be changed into a prime (820321027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299230 + ... + 301958.

It is an arithmetic number, because the mean of its divisors is an integer number (31105620).

Almost surely, 2^820321026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820321026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995379840).

820321026 is an abundant number, since it is smaller than the sum of its proper divisors (1170438654).

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

820321026 is a wasteful number, since it uses less digits than its factorization.

820321026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 820321026 is about 28641.2469351458. The cubic root of 820321026 is about 936.1122915721.

The spelling of 820321026 in words is "eight hundred twenty million, three hundred twenty-one thousand, twenty-six".