6648900 has 72 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 1722240.

The previous prime is 6648883. The next prime is 6648977. The reversal of 6648900 is 98466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10801 + ... + 11399.

Almost surely, 2^6648900 is an apocalyptic number.

6648900 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 6648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

6648900 is an abundant number, since it is smaller than the sum of its proper divisors (13141500).

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

6648900 is a wasteful number, since it uses less digits than its factorization.

6648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6648900 is about 2578.5461019730. The cubic root of 6648900 is about 188.0398663004.

The spelling of 6648900 in words is "six million, six hundred forty-eight thousand, nine hundred".