6345768 has 96 divisors (see below), whose sum is σ = 19081440. Its totient is φ = 1733760.

The previous prime is 6345763. The next prime is 6345803. The reversal of 6345768 is 8675436.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (120960) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (6345763) 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, 147555 + ... + 147597.

It is an arithmetic number, because the mean of its divisors is an integer number (198765).

Almost surely, 2^6345768 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 6345768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9540720).

6345768 is an abundant number, since it is smaller than the sum of its proper divisors (12735672).

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

6345768 is a wasteful number, since it uses less digits than its factorization.

6345768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 6345768 is about 2519.0807847308. The cubic root of 6345768 is about 185.1376428790.

The spelling of 6345768 in words is "six million, three hundred forty-five thousand, seven hundred sixty-eight".