315102632 has 64 divisors (see below), whose sum is σ = 662860800. Its totient is φ = 139426560.

The previous prime is 315102629. The next prime is 315102643. The reversal of 315102632 is 236201513.

It is a junction number, because it is equal to n+sod(n) for n = 315102598 and 315102607.

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 15 ways as a sum of consecutive naturals, for example, 575783 + ... + 576329.

It is an arithmetic number, because the mean of its divisors is an integer number (10357200).

Almost surely, 2^315102632 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 315102632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331430400).

315102632 is an abundant number, since it is smaller than the sum of its proper divisors (347758168).

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

315102632 is a wasteful number, since it uses less digits than its factorization.

315102632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 315102632 is about 17751.1304428760. The cubic root of 315102632 is about 680.4830996117.

The spelling of 315102632 in words is "three hundred fifteen million, one hundred two thousand, six hundred thirty-two".