6436872 has 108 divisors (see below), whose sum is σ = 19733805. Its totient is φ = 1894464.

The previous prime is 6436847. The next prime is 6436879. The reversal of 6436872 is 2786346.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6436872 is a `hidden beast` number, since 643 + 6 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5503716 + 933156 = 2346^2 + 966^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1794.

It is a super-2 number, since 2×6436872² = 82866642288768, which contains 22 as substring.

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

Its product of digits (48384) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (6436879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279853 + ... + 279875.

Almost surely, 2^6436872 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 6436872

6436872 is an abundant number, since it is smaller than the sum of its proper divisors (13296933).

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

6436872 is a wasteful number, since it uses less digits than its factorization.

6436872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6436872 is about 2537.0991308973. The cubic root of 6436872 is about 186.0194221827.

The spelling of 6436872 in words is "six million, four hundred thirty-six thousand, eight hundred seventy-two".