6345792 has 84 divisors (see below), whose sum is σ = 19019520. Its totient is φ = 2019072.

The previous prime is 6345763. The next prime is 6345803. The reversal of 6345792 is 2975436.

It is a super-2 number, since 2×6345792² = 80538152214528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13009 + ... + 13487.

Almost surely, 2^6345792 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 6345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

6345792 is an abundant number, since it is smaller than the sum of its proper divisors (12673728).

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

6345792 is a wasteful number, since it uses less digits than its factorization.

6345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 6345792 is about 2519.0855483687. The cubic root of 6345792 is about 185.1378762786.

The spelling of 6345792 in words is "six million, three hundred forty-five thousand, seven hundred ninety-two".