6038820 has 96 divisors (see below), whose sum is σ = 19232640. Its totient is φ = 1572480.

The previous prime is 6038819. The next prime is 6038843. The reversal of 6038820 is 288306.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28515 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 2^6038820 is an apocalyptic number.

6038820 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 6038820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616320).

6038820 is an abundant number, since it is smaller than the sum of its proper divisors (13193820).

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

6038820 is a wasteful number, since it uses less digits than its factorization.

6038820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6038820 is about 2457.4010661673. The cubic root of 6038820 is about 182.1031094682.

The spelling of 6038820 in words is "six million, thirty-eight thousand, eight hundred twenty".