6315136 has 32 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 3120384.

The previous prime is 6315131. The next prime is 6315139.

6315136 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6315136.

It is not an unprimeable number, because it can be changed into a prime (6315131) 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 3 ways as a sum of consecutive naturals, for example, 12945 + ... + 13423.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^6315136 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 6315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364800).

6315136 is an abundant number, since it is smaller than the sum of its proper divisors (6414464).

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

6315136 is a wasteful number, since it uses less digits than its factorization.

6315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 6315136 is about 2512.9934341339. The cubic root of 6315136 is about 184.8392662824.

The spelling of 6315136 in words is "six million, three hundred fifteen thousand, one hundred thirty-six".