314160 has 160 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 61440.

The previous prime is 314159. The next prime is 314161. The reversal of 314160 is 61413.

It is an interprime number because it is at equal distance from previous prime (314159) and next prime (314161).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (314161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18472 + ... + 18488.

2³¹⁴¹⁶⁰ is an apocalyptic number.

314160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 560×561.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

314160 is an abundant number, since it is smaller than the sum of its proper divisors (971472).

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

314160 is a wasteful number, since it uses less digits than its factorization.

314160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 314160 is about 560.4997769848. The cubic root of 314160 is about 67.9803865002.

Adding to 314160 its reverse (61413), we get a palindrome (375573).

It can be divided in two parts, 314 and 160, that added together give a palindrome (474).

The spelling of 314160 in words is "three hundred fourteen thousand, one hundred sixty".