8054820 has 72 divisors (see below), whose sum is σ = 24808056. Its totient is φ = 2115072.

The previous prime is 8054771. The next prime is 8054833. The reversal of 8054820 is 284508.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 8054244 = 24^2 + 2838^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12834 + ... + 13446.

Almost surely, 2^8054820 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 8054820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404028).

8054820 is an abundant number, since it is smaller than the sum of its proper divisors (16753236).

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

8054820 is a wasteful number, since it uses less digits than its factorization.

8054820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8054820 is about 2838.1014781012. The cubic root of 8054820 is about 200.4557938043.

It can be divided in two parts, 805 and 4820, that added together give a square (5625 = 75²).

The spelling of 8054820 in words is "eight million, fifty-four thousand, eight hundred twenty".