13810320 has 60 divisors (see below), whose sum is σ = 46382076. Its totient is φ = 3682560.

The previous prime is 13810319. The next prime is 13810331. The reversal of 13810320 is 2301831.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 5992704 = 2796^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13810293 and 13810302.

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 11 ways as a sum of consecutive naturals, for example, 8871 + ... + 10310.

Almost surely, 2^13810320 is an apocalyptic number.

13810320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13810320 is an abundant number, since it is smaller than the sum of its proper divisors (32571756).

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

13810320 is a wasteful number, since it uses less digits than its factorization.

13810320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19200 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13810320 is about 3716.2238899184. The cubic root of 13810320 is about 239.9208072050.

The spelling of 13810320 in words is "thirteen million, eight hundred ten thousand, three hundred twenty".