13761280 has 72 divisors (see below), whose sum is σ = 35541072. Its totient is φ = 5074944.

The previous prime is 13761229. The next prime is 13761289. The reversal of 13761280 is 8216731.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13761289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16227 + ... + 17053.

It is an arithmetic number, because the mean of its divisors is an integer number (493626).

Almost surely, 2^13761280 is an apocalyptic number.

13761280 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 13761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17770536).

13761280 is an abundant number, since it is smaller than the sum of its proper divisors (21779792).

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

13761280 is an equidigital number, since it uses as much as digits as its factorization.

13761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13761280 is about 3709.6199266232. The cubic root of 13761280 is about 239.6364867238.

It can be divided in two parts, 13761 and 280, that added together give a palindrome (14041).

The spelling of 13761280 in words is "thirteen million, seven hundred sixty-one thousand, two hundred eighty".