13681760 has 48 divisors (see below), whose sum is σ = 32550336. Its totient is φ = 5434368.

The previous prime is 13681739. The next prime is 13681777. The reversal of 13681760 is 6718631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 37097 + ... + 37463.

It is an arithmetic number, because the mean of its divisors is an integer number (678132).

Almost surely, 2^13681760 is an apocalyptic number.

13681760 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 13681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275168).

13681760 is an abundant number, since it is smaller than the sum of its proper divisors (18868576).

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

13681760 is a wasteful number, since it uses less digits than its factorization.

13681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13681760 is about 3698.8863188803. The cubic root of 13681760 is about 239.1740123816.

It can be divided in two parts, 13681 and 760, that added together give a palindrome (14441).

The spelling of 13681760 in words is "thirteen million, six hundred eighty-one thousand, seven hundred sixty".