1320 has 32 divisors (see below), whose sum is σ = 4320. Its totient is φ = 320.
The previous prime is 1319. The next prime is 1321. The reversal of 1320 is 231.
1320 is nontrivially palindromic in base 13.
It is an interprime number because it is at equal distance from previous prime (1319) and next prime (1321).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
1320 is an idoneal number.
1320 is an undulating number in base 13.
It is a nialpdrome in base 11 and base 12.
It is a junction number, because it is equal to n+sod(n) for n = 1299 and 1308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1321) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 125.
It is an arithmetic number, because the mean of its divisors is an integer number (135).
1320 is a gapful number since it is divisible by the number (10) 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 1320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160).
1320 is an abundant number, since it is smaller than the sum of its proper divisors (3000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1320 is a wasteful number, since it uses less digits than its factorization.
1320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 1320 is about 36.3318042492. The cubic root of 1320 is about 10.9696131049.
Adding to 1320 its reverse (231), we get a palindrome (1551).
Subtracting from 1320 its reverse (231), we obtain a square (1089 = 332).
It can be divided in two parts, 13 and 20, that added together give a palindrome (33).
The spelling of 1320 in words is "one thousand, three hundred twenty", and thus it is an iban number.
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