6528480 has 192 divisors, whose sum is σ = 24675840. Its totient is φ = 1419264.

The previous prime is 6528479. The next prime is 6528497. The reversal of 6528480 is 848256.

6528480 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6528480² = 85242102220800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97407 + ... + 97473.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^6528480 is an apocalyptic number.

6528480 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 6528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

6528480 is an abundant number, since it is smaller than the sum of its proper divisors (18147360).

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

6528480 is a wasteful number, since it uses less digits than its factorization.

6528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6528480 is about 2555.0890395444. The cubic root of 6528480 is about 186.8977297364.

The spelling of 6528480 in words is "six million, five hundred twenty-eight thousand, four hundred eighty".