6714400 has 144 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2073600.

The previous prime is 6714349. The next prime is 6714403. The reversal of 6714400 is 44176.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6714403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61546 + ... + 61654.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^6714400 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 6714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

6714400 is an abundant number, since it is smaller than the sum of its proper divisors (13909280).

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

6714400 is a wasteful number, since it uses less digits than its factorization.

6714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 6714400 is about 2591.2159307939. The cubic root of 6714400 is about 188.6553258231.

Adding to 6714400 its reverse (44176), we get a palindrome (6758576).

The spelling of 6714400 in words is "six million, seven hundred fourteen thousand, four hundred".