6338820 has 48 divisors (see below), whose sum is σ = 18365760. Its totient is φ = 1631616.

The previous prime is 6338789. The next prime is 6338831. The reversal of 6338820 is 288336.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (382620).

Almost surely, 2^6338820 is an apocalyptic number.

6338820 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 6338820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182880).

6338820 is an abundant number, since it is smaller than the sum of its proper divisors (12026940).

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

6338820 is a wasteful number, since it uses less digits than its factorization.

6338820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6338820 is about 2517.7013325651. The cubic root of 6338820 is about 185.0700489540.

It can be divided in two parts, 633 and 8820, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 6338820 in words is "six million, three hundred thirty-eight thousand, eight hundred twenty".