6663600 has 120 divisors (see below), whose sum is σ = 23755920. Its totient is φ = 1774080.

The previous prime is 6663599. The next prime is 6663611. The reversal of 6663600 is 63666.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 10492 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (197966).

Almost surely, 2^6663600 is an apocalyptic number.

6663600 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 6663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877960).

6663600 is an abundant number, since it is smaller than the sum of its proper divisors (17092320).

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

6663600 is a wasteful number, since it uses less digits than its factorization.

6663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6663600 is about 2581.3949717159. The cubic root of 6663600 is about 188.1783429119.

The spelling of 6663600 in words is "six million, six hundred sixty-three thousand, six hundred".