6349792 has 48 divisors (see below), whose sum is σ = 13329792. Its totient is φ = 2972160.

The previous prime is 6349787. The next prime is 6349843. The reversal of 6349792 is 2979436.

Its product of digits (81648) is a multiple of the sum of its prime divisors (243).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36618 + ... + 36790.

It is an arithmetic number, because the mean of its divisors is an integer number (277704).

Almost surely, 2^6349792 is an apocalyptic number.

6349792 is a gapful number since it is divisible by the number (62) 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 6349792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664896).

6349792 is an abundant number, since it is smaller than the sum of its proper divisors (6980000).

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

6349792 is a wasteful number, since it uses less digits than its factorization.

6349792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The square root of 6349792 is about 2519.8793621918. The cubic root of 6349792 is about 185.1767679809.

The spelling of 6349792 in words is "six million, three hundred forty-nine thousand, seven hundred ninety-two".