5820120 has 128 divisors (see below), whose sum is σ = 20606400. Its totient is φ = 1456128.

The previous prime is 5820119. The next prime is 5820121. The reversal of 5820120 is 210285.

5820120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5820119) and next prime (5820121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5820093 and 5820102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5820121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18202 + ... + 18518.

Almost surely, 2^5820120 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 5820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10303200).

5820120 is an abundant number, since it is smaller than the sum of its proper divisors (14786280).

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

5820120 is a wasteful number, since it uses less digits than its factorization.

5820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5820120 is about 2412.4924870349. The cubic root of 5820120 is about 179.8776946933.

The spelling of 5820120 in words is "five million, eight hundred twenty thousand, one hundred twenty".