6679200 has 216 divisors, whose sum is σ = 24935904. Its totient is φ = 1548800.

The previous prime is 6679199. The next prime is 6679237. The reversal of 6679200 is 29766.

It is a super-2 number, since 2×6679200² = 89223425280000, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290389 + ... + 290411.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 2^6679200 is an apocalyptic number.

6679200 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 6679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

6679200 is an abundant number, since it is smaller than the sum of its proper divisors (18256704).

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

6679200 is a wasteful number, since it uses less digits than its factorization.

6679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 6679200 is about 2584.4148273836. The cubic root of 6679200 is about 188.3250751245.

The spelling of 6679200 in words is "six million, six hundred seventy-nine thousand, two hundred".