820348056 has 288 divisors, whose sum is σ = 2688940800. Its totient is φ = 224716800.

The previous prime is 820348037. The next prime is 820348057. The reversal of 820348056 is 650843028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 820348056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820348057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4294921 + ... + 4295111.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^820348056 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 820348056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

820348056 is an abundant number, since it is smaller than the sum of its proper divisors (1868592744).

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

820348056 is a wasteful number, since it uses less digits than its factorization.

820348056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820348056 is about 28641.7188031724. The cubic root of 820348056 is about 936.1225732531.

The spelling of 820348056 in words is "eight hundred twenty million, three hundred forty-eight thousand, fifty-six".