13681872 has 160 divisors (see below), whose sum is σ = 43925760. Its totient is φ = 4105728.

The previous prime is 13681867. The next prime is 13681883. The reversal of 13681872 is 27818631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594853 + ... + 594875.

It is an arithmetic number, because the mean of its divisors is an integer number (274536).

Almost surely, 2^13681872 is an apocalyptic number.

13681872 is a gapful number since it is divisible by the number (12) 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 13681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962880).

13681872 is an abundant number, since it is smaller than the sum of its proper divisors (30243888).

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

13681872 is an equidigital number, since it uses as much as digits as its factorization.

13681872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13681872 is about 3698.9014585414. The cubic root of 13681872 is about 239.1746650125.

It can be divided in two parts, 1368 and 1872, that added together give a triangular number (3240 = T₈₀).

The spelling of 13681872 in words is "thirteen million, six hundred eighty-one thousand, eight hundred seventy-two".