13819008 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3833856.

The previous prime is 13819007. The next prime is 13819033. The reversal of 13819008 is 80091831.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13819007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142416 + ... + 142512.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 2^13819008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

13819008 is an abundant number, since it is smaller than the sum of its proper divisors (29363712).

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

13819008 is an equidigital number, since it uses as much as digits as its factorization.

13819008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 13819008 is about 3717.3926346298. The cubic root of 13819008 is about 239.9711076330.

The spelling of 13819008 in words is "thirteen million, eight hundred nineteen thousand, eight".