13810496 has 56 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 5709312.

The previous prime is 13810493. The next prime is 13810513. The reversal of 13810496 is 69401831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13810493) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12461 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 2^13810496 is an apocalyptic number.

13810496 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 13810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

13810496 is an abundant number, since it is smaller than the sum of its proper divisors (18620224).

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

13810496 is a wasteful number, since it uses less digits than its factorization.

13810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 13810496 is about 3716.2475697940. The cubic root of 13810496 is about 239.9218263916.

The spelling of 13810496 in words is "thirteen million, eight hundred ten thousand, four hundred ninety-six".