6503328 has 120 divisors (see below), whose sum is σ = 20704068. Its totient is φ = 1990656.

The previous prime is 6503311. The next prime is 6503347. The reversal of 6503328 is 8233056.

6503328 is a `hidden beast` number, since 650 + 3 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 685584 = 2412^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33600 + ... + 33792.

Almost surely, 2^6503328 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 6503328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352034).

6503328 is an abundant number, since it is smaller than the sum of its proper divisors (14200740).

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

6503328 is a wasteful number, since it uses less digits than its factorization.

6503328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6503328 is about 2550.1623477732. The cubic root of 6503328 is about 186.6574031684.

The spelling of 6503328 in words is "six million, five hundred three thousand, three hundred twenty-eight".