6342336 has 252 divisors, whose sum is σ = 24593296. Its totient is φ = 1520640.

The previous prime is 6342317. The next prime is 6342337. The reversal of 6342336 is 6332436.

6342336 is a `hidden beast` number, since 634 + 23 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7776) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (6342337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487866 + ... + 487878.

Almost surely, 2^6342336 is an apocalyptic number.

6342336 is a gapful number since it is divisible by the number (66) 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 6342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296648).

6342336 is an abundant number, since it is smaller than the sum of its proper divisors (18250960).

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

6342336 is a wasteful number, since it uses less digits than its factorization.

6342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 6342336 is about 2518.3994917407. The cubic root of 6342336 is about 185.1042606852.

The spelling of 6342336 in words is "six million, three hundred forty-two thousand, three hundred thirty-six".