5786820 has 72 divisors (see below), whose sum is σ = 18911256. Its totient is φ = 1423872.

The previous prime is 5786813. The next prime is 5786827. The reversal of 5786820 is 286875.

5786820 is a `hidden beast` number, since 578 + 6 + 82 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5786813) and next prime (5786827).

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 5419584 = 606^2 + 2328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5786827) 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, 1104 + ... + 3576.

Almost surely, 2^5786820 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 5786820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9455628).

5786820 is an abundant number, since it is smaller than the sum of its proper divisors (13124436).

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

5786820 is a wasteful number, since it uses less digits than its factorization.

5786820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5786820 is about 2405.5810108994. The cubic root of 5786820 is about 179.5339796991.

Subtracting from 5786820 its reverse (286875), we obtain a palindrome (5499945).

The spelling of 5786820 in words is "five million, seven hundred eighty-six thousand, eight hundred twenty".