6661200 has 240 divisors, whose sum is σ = 26692736. Its totient is φ = 1382400.

The previous prime is 6661189. The next prime is 6661211. The reversal of 6661200 is 21666.

It is an interprime number because it is at equal distance from previous prime (6661189) and next prime (6661211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109170 + ... + 109230.

Almost surely, 2^6661200 is an apocalyptic number.

6661200 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 6661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346368).

6661200 is an abundant number, since it is smaller than the sum of its proper divisors (20031536).

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

6661200 is a wasteful number, since it uses less digits than its factorization.

6661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6661200 is about 2580.9300649185. The cubic root of 6661200 is about 188.1557484057.

Adding to 6661200 its reverse (21666), we get a palindrome (6682866).

The spelling of 6661200 in words is "six million, six hundred sixty-one thousand, two hundred".