820141056 has 132 divisors (see below), whose sum is σ = 2706658032. Its totient is φ = 234307584.

The previous prime is 820141043. The next prime is 820141073. The reversal of 820141056 is 650141028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58156 + ... + 70868.

Almost surely, 2^820141056 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 820141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353329016).

820141056 is an abundant number, since it is smaller than the sum of its proper divisors (1886516976).

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

820141056 is a wasteful number, since it uses less digits than its factorization.

820141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12746 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 820141056 is about 28638.1049652382. The cubic root of 820141056 is about 936.0438287607.

The spelling of 820141056 in words is "eight hundred twenty million, one hundred forty-one thousand, fifty-six".