6504000 has 112 divisors (see below), whose sum is σ = 21555456. Its totient is φ = 1728000.

The previous prime is 6503977. The next prime is 6504011. The reversal of 6504000 is 4056.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 23865 + ... + 24135.

Almost surely, 2^6504000 is an apocalyptic number.

6504000 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 6504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777728).

6504000 is an abundant number, since it is smaller than the sum of its proper divisors (15051456).

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

6504000 is a wasteful number, since it uses less digits than its factorization.

6504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 6504000 is about 2550.2941006872. The cubic root of 6504000 is about 186.6638321565.

Adding to 6504000 its reverse (4056), we get a palindrome (6508056).

The spelling of 6504000 in words is "six million, five hundred four thousand".