820193424 has 80 divisors (see below), whose sum is σ = 2252355840. Its totient is φ = 256296960.

The previous prime is 820193417. The next prime is 820193447. The reversal of 820193424 is 424391028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219282 + ... + 222990.

It is an arithmetic number, because the mean of its divisors is an integer number (28154448).

Almost surely, 2^820193424 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 820193424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126177920).

820193424 is an abundant number, since it is smaller than the sum of its proper divisors (1432162416).

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

820193424 is a wasteful number, since it uses less digits than its factorization.

820193424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 820193424 is about 28639.0192569508. The cubic root of 820193424 is about 936.0637512280.

The spelling of 820193424 in words is "eight hundred twenty million, one hundred ninety-three thousand, four hundred twenty-four".