5858820 has 108 divisors (see below), whose sum is σ = 19606860. Its totient is φ = 1415040.

The previous prime is 5858807. The next prime is 5858833. The reversal of 5858820 is 288585.

5858820 is a `hidden beast` number, since 58 + 588 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5858807) and next prime (5858833).

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 4743684 = 1056^2 + 2178^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21646 + ... + 21914.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 2^5858820 is an apocalyptic number.

It is a pronic number, being equal to 2420×2421.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5858820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803430).

5858820 is an abundant number, since it is smaller than the sum of its proper divisors (13748040).

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

5858820 is a wasteful number, since it uses less digits than its factorization.

5858820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5858820 is about 2420.4999483578. The cubic root of 5858820 is about 180.2755040304.

The spelling of 5858820 in words is "five million, eight hundred fifty-eight thousand, eight hundred twenty".