6315264 has 54 divisors (see below), whose sum is σ = 18215106. Its totient is φ = 2104320.

The previous prime is 6315259. The next prime is 6315293. The reversal of 6315264 is 4625136.

6315264 is a `hidden beast` number, since 631 + 5 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 1440000 = 2208^2 + 1200^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 934 + ... + 3674.

Almost surely, 2^6315264 is an apocalyptic number.

6315264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107553).

6315264 is an abundant number, since it is smaller than the sum of its proper divisors (11899842).

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

6315264 is a wasteful number, since it uses less digits than its factorization.

6315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2746 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 6315264 is about 2513.0189016400. The cubic root of 6315264 is about 184.8405150951.

The spelling of 6315264 in words is "six million, three hundred fifteen thousand, two hundred sixty-four".