6314200 has 48 divisors (see below), whose sum is σ = 14853960. Its totient is φ = 2496000.

The previous prime is 6314197. The next prime is 6314201. The reversal of 6314200 is 24136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6314201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26080 + ... + 26320.

Almost surely, 2^6314200 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 6314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426980).

6314200 is an abundant number, since it is smaller than the sum of its proper divisors (8539760).

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

6314200 is a wasteful number, since it uses less digits than its factorization.

6314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 6314200 is about 2512.8071951505. The cubic root of 6314200 is about 184.8301338266.

Adding to 6314200 its reverse (24136), we get a palindrome (6338336).

Subtracting from 6314200 its reverse (24136), we obtain a square (6290064 = 2508²).

The spelling of 6314200 in words is "six million, three hundred fourteen thousand, two hundred".