6538500 has 72 divisors (see below), whose sum is σ = 20640984. Its totient is φ = 1742400.

The previous prime is 6538487. The next prime is 6538507. The reversal of 6538500 is 58356.

6538500 is a `hidden beast` number, since 653 + 8 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 6471936 = 258^2 + 2544^2 .

It is not an unprimeable number, because it can be changed into a prime (6538507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3774 + ... + 5226.

Almost surely, 2^6538500 is an apocalyptic number.

6538500 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 6538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320492).

6538500 is an abundant number, since it is smaller than the sum of its proper divisors (14102484).

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

6538500 is a wasteful number, since it uses less digits than its factorization.

6538500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6538500 is about 2557.0490804832. The cubic root of 6538500 is about 186.9932985864.

The spelling of 6538500 in words is "six million, five hundred thirty-eight thousand, five hundred".