6338020 has 48 divisors (see below), whose sum is σ = 15099840. Its totient is φ = 2215296.

The previous prime is 6338011. The next prime is 6338021. The reversal of 6338020 is 208336.

6338020 = T₂₄₅ + T₂₄₆ + ... + T₃₇₄.

It is a junction number, because it is equal to n+sod(n) for n = 6337982 and 6338000.

It is not an unprimeable number, because it can be changed into a prime (6338021) 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 15 ways as a sum of consecutive naturals, for example, 4299 + ... + 5581.

It is an arithmetic number, because the mean of its divisors is an integer number (314580).

Almost surely, 2^6338020 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 6338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549920).

6338020 is an abundant number, since it is smaller than the sum of its proper divisors (8761820).

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

6338020 is a wasteful number, since it uses less digits than its factorization.

6338020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 6338020 is about 2517.5424524723. The cubic root of 6338020 is about 185.0622629482.

It can be divided in two parts, 63 and 38020, that added together give a palindrome (38083).

The spelling of 6338020 in words is "six million, three hundred thirty-eight thousand, twenty".