6443136 has 192 divisors, whose sum is σ = 22913280. Its totient is φ = 1695744.

The previous prime is 6443131. The next prime is 6443159. The reversal of 6443136 is 6313446.

6443136 = 25³ + 26³ + ... + 71³.

6443136 is a `hidden beast` number, since 644 + 3 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6443131) 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, 137065 + ... + 137111.

It is an arithmetic number, because the mean of its divisors is an integer number (119340).

Almost surely, 2^6443136 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 6443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

6443136 is an abundant number, since it is smaller than the sum of its proper divisors (16470144).

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

6443136 is a wasteful number, since it uses less digits than its factorization.

6443136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 6443136 is about 2538.3333114467. Note that the first 4 decimals coincide. The cubic root of 6443136 is about 186.0797438156.

The spelling of 6443136 in words is "six million, four hundred forty-three thousand, one hundred thirty-six".