6741200 has 60 divisors (see below), whose sum is σ = 17067360. Its totient is φ = 2551680.

The previous prime is 6741173. The next prime is 6741221. The reversal of 6741200 is 21476.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7157 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (284456).

Almost surely, 2^6741200 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 6741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533680).

6741200 is an abundant number, since it is smaller than the sum of its proper divisors (10326160).

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

6741200 is a wasteful number, since it uses less digits than its factorization.

6741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 6741200 is about 2596.3820982282. The cubic root of 6741200 is about 188.9059935811.

Adding to 6741200 its reverse (21476), we get a palindrome (6762676).

The spelling of 6741200 in words is "six million, seven hundred forty-one thousand, two hundred".