13781960 has 48 divisors (see below), whose sum is σ = 32375700. Its totient is φ = 5273856.

The previous prime is 13781959. The next prime is 13781983. The reversal of 13781960 is 6918731.

It can be written as a sum of positive squares in 6 ways, for example, as 8844676 + 4937284 = 2974^2 + 2222^2 .

It is a super-3 number, since 3×13781960³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13781960.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 126386 + ... + 126494.

Almost surely, 2^13781960 is an apocalyptic number.

13781960 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 13781960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187850).

13781960 is an abundant number, since it is smaller than the sum of its proper divisors (18593740).

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

13781960 is a wasteful number, since it uses less digits than its factorization.

13781960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 13781960 is about 3712.4062277720. The cubic root of 13781960 is about 239.7564659264.

It can be divided in two parts, 13781 and 960, that added together give a palindrome (14741).

The spelling of 13781960 in words is "thirteen million, seven hundred eighty-one thousand, nine hundred sixty".