6811200 has 252 divisors, whose sum is σ = 27023568. Its totient is φ = 1612800.

The previous prime is 6811141. The next prime is 6811213. The reversal of 6811200 is 21186.

6811200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158379 + ... + 158421.

Almost surely, 2^6811200 is an apocalyptic number.

6811200 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 6811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511784).

6811200 is an abundant number, since it is smaller than the sum of its proper divisors (20212368).

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

6811200 is a wasteful number, since it uses less digits than its factorization.

6811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6811200 is about 2609.8275805118. The cubic root of 6811200 is about 189.5576041510.

Adding to 6811200 its reverse (21186), we get a palindrome (6832386).

It can be divided in two parts, 681 and 1200, that added together give a palindrome (1881).

The spelling of 6811200 in words is "six million, eight hundred eleven thousand, two hundred".