6345000 has 160 divisors (see below), whose sum is σ = 22492800. Its totient is φ = 1656000.

The previous prime is 6344983. The next prime is 6345007. The reversal of 6345000 is 5436.

It is a happy number.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (6345007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134977 + ... + 135023.

It is an arithmetic number, because the mean of its divisors is an integer number (140580).

Almost surely, 2^6345000 is an apocalyptic number.

6345000 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 6345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246400).

6345000 is an abundant number, since it is smaller than the sum of its proper divisors (16147800).

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

6345000 is a wasteful number, since it uses less digits than its factorization.

6345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

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

The square root of 6345000 is about 2518.9283435620. The cubic root of 6345000 is about 185.1301737833.

The spelling of 6345000 in words is "six million, three hundred forty-five thousand".