820967238 has 192 divisors, whose sum is σ = 2392266240. Its totient is φ = 204913152.

The previous prime is 820967233. The next prime is 820967269. The reversal of 820967238 is 832769028.

It is a junction number, because it is equal to n+sod(n) for n = 820967193 and 820967202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820967233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839806 + ... + 840782.

It is an arithmetic number, because the mean of its divisors is an integer number (12459720).

Almost surely, 2^820967238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820967238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196133120).

820967238 is an abundant number, since it is smaller than the sum of its proper divisors (1571299002).

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

820967238 is a wasteful number, since it uses less digits than its factorization.

820967238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 820967238 is about 28652.5258572434. The cubic root of 820967238 is about 936.3580361045.

The spelling of 820967238 in words is "eight hundred twenty million, nine hundred sixty-seven thousand, two hundred thirty-eight".