6325200 has 180 divisors, whose sum is σ = 25185888. Its totient is φ = 1440000.

The previous prime is 6325183. The next prime is 6325201. The reversal of 6325200 is 25236.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6325201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25075 + ... + 25325.

Almost surely, 2^6325200 is an apocalyptic number.

6325200 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 6325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592944).

6325200 is an abundant number, since it is smaller than the sum of its proper divisors (18860688).

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

6325200 is a wasteful number, since it uses less digits than its factorization.

6325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6325200 is about 2514.9950298162. The cubic root of 6325200 is about 184.9374027321.

It can be divided in two parts, 632 and 5200, that added together give a cube (5832 = 18³).

The spelling of 6325200 in words is "six million, three hundred twenty-five thousand, two hundred".