6468600 has 48 divisors (see below), whose sum is σ = 20054520. Its totient is φ = 1724800.

The previous prime is 6468593. The next prime is 6468613. The reversal of 6468600 is 68646.

It is a happy number.

6468600 is nontrivially palindromic in base 14.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4791 + ... + 5990.

Almost surely, 2^6468600 is an apocalyptic number.

6468600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6468600 is an abundant number, since it is smaller than the sum of its proper divisors (13585920).

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

6468600 is a wasteful number, since it uses less digits than its factorization.

6468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6468600 is about 2543.3442551098. The cubic root of 6468600 is about 186.3245576309.

The spelling of 6468600 in words is "six million, four hundred sixty-eight thousand, six hundred".