6118020 has 72 divisors (see below), whose sum is σ = 19033560. Its totient is φ = 1589760.

The previous prime is 6118003. The next prime is 6118027. The reversal of 6118020 is 208116.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 6081156 = 192^2 + 2466^2 .

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 = 6117984 and 6118002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6118027) by changing a digit.

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, 6966 + ... + 7794.

It is an arithmetic number, because the mean of its divisors is an integer number (264355).

Almost surely, 2^6118020 is an apocalyptic number.

6118020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6118020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516780).

6118020 is an abundant number, since it is smaller than the sum of its proper divisors (12915540).

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

6118020 is a wasteful number, since it uses less digits than its factorization.

6118020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6118020 is about 2473.4631592162. The cubic root of 6118020 is about 182.8957571679.

Adding to 6118020 its product of nonzero digits (96), we get a palindrome (6118116).

It can be divided in two parts, 61 and 18020, that added together give a palindrome (18081).

The spelling of 6118020 in words is "six million, one hundred eighteen thousand, twenty".