6506900 has 36 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 2517600.

The previous prime is 6506897. The next prime is 6506909. The reversal of 6506900 is 96056.

It is a super-2 number, since 2×6506900² = 84679495220000, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6506900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6506909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2051 + ... + 4149.

Almost surely, 2^6506900 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 6506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

6506900 is an abundant number, since it is smaller than the sum of its proper divisors (8075500).

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

6506900 is a wasteful number, since it uses less digits than its factorization.

6506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 6506900 is about 2550.8625992005. The cubic root of 6506900 is about 186.6915712236.

The spelling of 6506900 in words is "six million, five hundred six thousand, nine hundred".