6528900 has 72 divisors (see below), whose sum is σ = 21595840. Its totient is φ = 1491840.

The previous prime is 6528887. The next prime is 6528917. The reversal of 6528900 is 98256.

6528900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546 + ... + 3654.

Almost surely, 2^6528900 is an apocalyptic number.

6528900 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 6528900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10797920).

6528900 is an abundant number, since it is smaller than the sum of its proper divisors (15066940).

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

6528900 is a wasteful number, since it uses less digits than its factorization.

6528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6528900 is about 2555.1712271392. The cubic root of 6528900 is about 186.9017375791.

It can be divided in two parts, 6 and 528900, that added together give a triangular number (528906 = T₁₀₂₈).

The spelling of 6528900 in words is "six million, five hundred twenty-eight thousand, nine hundred".