821059056 has 120 divisors (see below), whose sum is σ = 2386740096. Its totient is φ = 263208960.

The previous prime is 821059051. The next prime is 821059061. The reversal of 821059056 is 650950128.

It is a happy number.

821059056 is a `hidden beast` number, since 8 + 2 + 10 + 590 + 56 = 666.

821059056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (821059051) and next prime (821059061).

It is a super-2 number, since 2×821059056² = 1348275946879222272, which contains 22 as substring.

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 821059056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821059051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861076 + ... + 862028.

Almost surely, 2^821059056 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 821059056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193370048).

821059056 is an abundant number, since it is smaller than the sum of its proper divisors (1565681040).

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

821059056 is a wasteful number, since it uses less digits than its factorization.

821059056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 821059056 is about 28654.1280795630. The cubic root of 821059056 is about 936.3929426201.

The spelling of 821059056 in words is "eight hundred twenty-one million, fifty-nine thousand, fifty-six".