6336400 has 120 divisors (see below), whose sum is σ = 18205184. Its totient is φ = 2073600.

The previous prime is 6336389. The next prime is 6336403. The reversal of 6336400 is 46336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6336403) 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, 86764 + ... + 86836.

Almost surely, 2^6336400 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 6336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102592).

6336400 is an abundant number, since it is smaller than the sum of its proper divisors (11868784).

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

6336400 is a wasteful number, since it uses less digits than its factorization.

6336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 6336400 is about 2517.2206895701. The cubic root of 6336400 is about 185.0464942795.

Subtracting from 6336400 its reverse (46336), we obtain a square (6290064 = 2508²).

It can be divided in two parts, 63 and 36400, that added together give a palindrome (36463).

The spelling of 6336400 in words is "six million, three hundred thirty-six thousand, four hundred".