6330336 has 96 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1943040.

The previous prime is 6330329. The next prime is 6330343.

6330336 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6330329) and next prime (6330343).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103746 + ... + 103806.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^6330336 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 6330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

6330336 is an abundant number, since it is smaller than the sum of its proper divisors (11668512).

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

6330336 is a wasteful number, since it uses less digits than its factorization.

6330336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 6330336 is about 2516.0158982010. The cubic root of 6330336 is about 184.9874449722.

It can be divided in two parts, 6330 and 336, that added together give a palindrome (6666).

The spelling of 6330336 in words is "six million, three hundred thirty thousand, three hundred thirty-six".