13719456 has 120 divisors (see below), whose sum is σ = 41469120. Its totient is φ = 4447872.

The previous prime is 13719437. The next prime is 13719469. The reversal of 13719456 is 65491731.

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

Its product of digits (22680) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 13719456.

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 19 ways as a sum of consecutive naturals, for example, 173625 + ... + 173703.

It is an arithmetic number, because the mean of its divisors is an integer number (345576).

Almost surely, 2^13719456 is an apocalyptic number.

13719456 is a gapful number since it is divisible by the number (16) 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 13719456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560).

13719456 is an abundant number, since it is smaller than the sum of its proper divisors (27749664).

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

13719456 is an equidigital number, since it uses as much as digits as its factorization.

13719456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13719456 is about 3703.9784016649. The cubic root of 13719456 is about 239.3934684558.

The spelling of 13719456 in words is "thirteen million, seven hundred nineteen thousand, four hundred fifty-six".