13981760 has 56 divisors (see below), whose sum is σ = 35865816. Its totient is φ = 5160960.

The previous prime is 13981729. The next prime is 13981789. The reversal of 13981760 is 6718931.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 13075456 = 952^2 + 3616^2 .

It is a super-2 number, since 2×13981760² = 390979225395200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13981760.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2480 + ... + 5840.

It is an arithmetic number, because the mean of its divisors is an integer number (640461).

Almost surely, 2^13981760 is an apocalyptic number.

13981760 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 13981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932908).

13981760 is an abundant number, since it is smaller than the sum of its proper divisors (21884056).

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

13981760 is a wasteful number, since it uses less digits than its factorization.

13981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3381 counting only the distinct ones).

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

The square root of 13981760 is about 3739.2191698268. The cubic root of 13981760 is about 240.9095118929.

It can be divided in two parts, 13981 and 760, that added together give a palindrome (14741).

The spelling of 13981760 in words is "thirteen million, nine hundred eighty-one thousand, seven hundred sixty".