315882840 has 128 divisors (see below), whose sum is σ = 1166376960. Its totient is φ = 66645504.

The previous prime is 315882803. The next prime is 315882841. The reversal of 315882840 is 48288513.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315882841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3544 + ... + 25383.

It is an arithmetic number, because the mean of its divisors is an integer number (9112320).

Almost surely, 2^315882840 is an apocalyptic number.

315882840 is a gapful number since it is divisible by the number (30) 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 315882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583188480).

315882840 is an abundant number, since it is smaller than the sum of its proper divisors (850494120).

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

315882840 is a wasteful number, since it uses less digits than its factorization.

315882840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28961 (or 28957 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 315882840 is about 17773.0931466641. The cubic root of 315882840 is about 681.0442720824.

The spelling of 315882840 in words is "three hundred fifteen million, eight hundred eighty-two thousand, eight hundred forty".