820363936 has 48 divisors (see below), whose sum is σ = 1857655296. Its totient is φ = 349330176.

The previous prime is 820363927. The next prime is 820363987. The reversal of 820363936 is 639363028.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23505 + ... + 46831.

It is an arithmetic number, because the mean of its divisors is an integer number (38701152).

Almost surely, 2^820363936 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 820363936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928827648).

820363936 is an abundant number, since it is smaller than the sum of its proper divisors (1037291360).

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

820363936 is a wasteful number, since it uses less digits than its factorization.

820363936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23501 (or 23493 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 820363936 is about 28641.9960198307. The cubic root of 820363936 is about 936.1286135878.

The spelling of 820363936 in words is "eight hundred twenty million, three hundred sixty-three thousand, nine hundred thirty-six".