315948672 has 288 divisors, whose sum is σ = 1054342380. Its totient is φ = 90243072.

The previous prime is 315948671. The next prime is 315948673. The reversal of 315948672 is 276849513.

It is an interprime number because it is at equal distance from previous prime (315948671) and next prime (315948673).

It can be written as a sum of positive squares in 6 ways, for example, as 199826496 + 116122176 = 14136^2 + 10776^2 .

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (362880) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (315948671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328028 + ... + 4328100.

Almost surely, 2^315948672 is an apocalyptic number.

315948672 is a gapful number since it is divisible by the number (32) 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 315948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527171190).

315948672 is an abundant number, since it is smaller than the sum of its proper divisors (738393708).

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

315948672 is a wasteful number, since it uses less digits than its factorization.

315948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 315948672 is about 17774.9450632062. The cubic root of 315948672 is about 681.0915801205.

The spelling of 315948672 in words is "three hundred fifteen million, nine hundred forty-eight thousand, six hundred seventy-two".