6348000 has 144 divisors (see below), whose sum is σ = 21739536. Its totient is φ = 1619200.

The previous prime is 6347983. The next prime is 6348011. The reversal of 6348000 is 8436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275989 + ... + 276011.

It is an arithmetic number, because the mean of its divisors is an integer number (150969).

Almost surely, 2^6348000 is an apocalyptic number.

6348000 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 6348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869768).

6348000 is an abundant number, since it is smaller than the sum of its proper divisors (15391536).

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

6348000 is a wasteful number, since it uses less digits than its factorization.

6348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6348000 is about 2519.5237645238. The cubic root of 6348000 is about 185.1593465184.

The spelling of 6348000 in words is "six million, three hundred forty-eight thousand".