6534900 has 108 divisors (see below), whose sum is σ = 21022092. Its totient is φ = 1697280.

The previous prime is 6534883. The next prime is 6534901. The reversal of 6534900 is 94356.

It is a happy number.

6534900 is a `hidden beast` number, since 653 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1764 + 6533136 = 42^2 + 2556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6534901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47632 + ... + 47768.

It is an arithmetic number, because the mean of its divisors is an integer number (194649).

Almost surely, 2^6534900 is an apocalyptic number.

6534900 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 6534900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10511046).

6534900 is an abundant number, since it is smaller than the sum of its proper divisors (14487192).

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

6534900 is a wasteful number, since it uses less digits than its factorization.

6534900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6534900 is about 2556.3450471327. The cubic root of 6534900 is about 186.9589737179.

The spelling of 6534900 in words is "six million, five hundred thirty-four thousand, nine hundred".