13819104 has 72 divisors (see below), whose sum is σ = 42332472. Its totient is φ = 4250880.

The previous prime is 13819097. The next prime is 13819111. The reversal of 13819104 is 40191831.

13819104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13819097) and next prime (13819111).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1899 + ... + 5589.

It is an arithmetic number, because the mean of its divisors is an integer number (587951).

Almost surely, 2^13819104 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 13819104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21166236).

13819104 is an abundant number, since it is smaller than the sum of its proper divisors (28513368).

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

13819104 is a wasteful number, since it uses less digits than its factorization.

13819104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13819104 is about 3717.4055468835. The cubic root of 13819104 is about 239.9716633211.

The spelling of 13819104 in words is "thirteen million, eight hundred nineteen thousand, one hundred four".