6436368 has 80 divisors (see below), whose sum is σ = 18927360. Its totient is φ = 2093184.

The previous prime is 6436361. The next prime is 6436379. The reversal of 6436368 is 8636346.

6436368 is a `hidden beast` number, since 643 + 6 + 3 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 2537²-1.

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

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

It is a d-powerful number, because it can be written as 6² + 4⁶ + 3¹³ + 6⁵ + 3¹⁴ + 6⁶ + 8³ .

It is not an unprimeable number, because it can be changed into a prime (6436361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20146 + ... + 20462.

It is an arithmetic number, because the mean of its divisors is an integer number (236592).

Almost surely, 2^6436368 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 6436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463680).

6436368 is an abundant number, since it is smaller than the sum of its proper divisors (12490992).

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

6436368 is a wasteful number, since it uses less digits than its factorization.

6436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6436368 is about 2536.9998029168. Note that the first 3 decimals coincide. The cubic root of 6436368 is about 186.0145670173.

The spelling of 6436368 in words is "six million, four hundred thirty-six thousand, three hundred sixty-eight".