6528000 has 176 divisors, whose sum is σ = 22991904. Its totient is φ = 1638400.

The previous prime is 6527977. The next prime is 6528013. The reversal of 6528000 is 8256.

It is a happy number.

It is a super-2 number, since 2×6528000² = 85229568000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383992 + ... + 384008.

Almost surely, 2^6528000 is an apocalyptic number.

6528000 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 6528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495952).

6528000 is an abundant number, since it is smaller than the sum of its proper divisors (16463904).

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

6528000 is a wasteful number, since it uses less digits than its factorization.

6528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 6528000 is about 2554.9951076274. The cubic root of 6528000 is about 186.8931491342.

The spelling of 6528000 in words is "six million, five hundred twenty-eight thousand".