315120 has 80 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 76800.

The previous prime is 315109. The next prime is 315127. The reversal of 315120 is 21513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×315120² = 198601228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 315096 and 315105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315127) by changing a digit.

315120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 3170.

2³¹⁵¹²⁰ is an apocalyptic number.

315120 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 315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216).

315120 is an abundant number, since it is smaller than the sum of its proper divisors (747312).

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

315120 is a wasteful number, since it uses less digits than its factorization.

315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 315120 is about 561.3555023334. The cubic root of 315120 is about 68.0495601796.

Adding to 315120 its reverse (21513), we get a palindrome (336633).

It can be divided in two parts, 315 and 120, that added together give a triangular number (435 = T₂₉).

The spelling of 315120 in words is "three hundred fifteen thousand, one hundred twenty".