315720 has 48 divisors (see below), whose sum is σ = 1027260. Its totient is φ = 84096.

The previous prime is 315703. The next prime is 315739. The reversal of 315720 is 27513.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 4356 = 558^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 315693 and 315702.

It is an unprimeable number.

315720 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 79 + ... + 798.

2³¹⁵⁷²⁰ is an apocalyptic number.

315720 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 315720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513630).

315720 is an abundant number, since it is smaller than the sum of its proper divisors (711540).

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

315720 is a wasteful number, since it uses less digits than its factorization.

315720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 315720 is about 561.8896688853. The cubic root of 315720 is about 68.0927224138.

It can be divided in two parts, 315 and 720, that added together give a triangular number (1035 = T₄₅).

The spelling of 315720 in words is "three hundred fifteen thousand, seven hundred twenty".