6315040 has 48 divisors (see below), whose sum is σ = 15445080. Its totient is φ = 2437120.

The previous prime is 6315037. The next prime is 6315059. The reversal of 6315040 is 405136.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 2202256 = 2028^2 + 1484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6314999 and 6315017.

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 7 ways as a sum of consecutive naturals, for example, 3960 + ... + 5320.

Almost surely, 2^6315040 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 6315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722540).

6315040 is an abundant number, since it is smaller than the sum of its proper divisors (9130040).

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

6315040 is a wasteful number, since it uses less digits than its factorization.

6315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 6315040 is about 2512.9743333349. The cubic root of 6315040 is about 184.8383296618.

It can be divided in two parts, 63150 and 40, that added together give a triangular number (63190 = T₃₅₅).

The spelling of 6315040 in words is "six million, three hundred fifteen thousand, forty".