6649600 has 54 divisors (see below), whose sum is σ = 16474640. Its totient is φ = 2657280.

The previous prime is 6649589. The next prime is 6649609. The reversal of 6649600 is 69466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6649609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5881 + ... + 6919.

Almost surely, 2^6649600 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 6649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237320).

6649600 is an abundant number, since it is smaller than the sum of its proper divisors (9825040).

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

6649600 is a wasteful number, since it uses less digits than its factorization.

6649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 6649600 is about 2578.6818338058. The cubic root of 6649600 is about 188.0464650504.

The spelling of 6649600 in words is "six million, six hundred forty-nine thousand, six hundred".