315639648 has 72 divisors (see below), whose sum is σ = 919527336. Its totient is φ = 102643200.

The previous prime is 315639617. The next prime is 315639673. The reversal of 315639648 is 846936513.

315639648 is a `hidden beast` number, since 3 + 1 + 5 + 639 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558 + ... + 25173.

It is an arithmetic number, because the mean of its divisors is an integer number (12771213).

Almost surely, 2^315639648 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 315639648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459763668).

315639648 is an abundant number, since it is smaller than the sum of its proper divisors (603887688).

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

315639648 is a wasteful number, since it uses less digits than its factorization.

315639648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26788 (or 26777 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 315639648 is about 17766.2502515303. The cubic root of 315639648 is about 680.8694530044.

The spelling of 315639648 in words is "three hundred fifteen million, six hundred thirty-nine thousand, six hundred forty-eight".