820284672 has 72 divisors (see below), whose sum is σ = 2242235296. Its totient is φ = 266029056.

The previous prime is 820284667. The next prime is 820284679. The reversal of 820284672 is 276482028.

It is a self number, because there is not a number n which added to its sum of digits gives 820284672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820284679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13983 + ... + 42849.

Almost surely, 2^820284672 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 820284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121117648).

820284672 is an abundant number, since it is smaller than the sum of its proper divisors (1421950624).

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

820284672 is a wasteful number, since it uses less digits than its factorization.

820284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28923 (or 28909 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 820284672 is about 28640.6122839579. The cubic root of 820284672 is about 936.0984628685.

The spelling of 820284672 in words is "eight hundred twenty million, two hundred eighty-four thousand, six hundred seventy-two".