1260 has 36 divisors (see below), whose sum is σ = 4368. Its totient is φ = 288.

The previous prime is 1259. The next prime is 1277. The reversal of 1260 is 621.

1260 divided by its product of nonzero digits (12) gives a triangular number (105 = T_{14}).

Adding to 1260 its reverse (621), we get a palindrome (1881).

1260 = 4^{3} + 5^{3} + ... + 8^{3}.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6 and base 14.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 183.

1260 is a Friedman number, since it can be written as 60*21, using all its digits and the basic arithmetic operations.

1260 is a highly composite number, because it has more divisors than any smaller number.

1260 is a superabundant number, because it has a larger abundancy index than any smaller number.

It is a vampire number, since it can be written as 21 ⋅ 60 (with its own digits).

1260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 35×36.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184).

1260 is an abundant number, since it is smaller than the sum of its proper divisors (3108).

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

1260 is a wasteful number, since it uses less digits than its factorization.

1260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1260 is about 35.4964786986. The cubic root of 1260 is about 10.8008229826.

The spelling of 1260 in words is "one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260

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