13810464 has 72 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 4537728.

The previous prime is 13810463. The next prime is 13810483. The reversal of 13810464 is 46401831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13810463) 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 11 ways as a sum of consecutive naturals, for example, 22449 + ... + 23055.

It is an arithmetic number, because the mean of its divisors is an integer number (553280).

Almost surely, 2^13810464 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 13810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

13810464 is an abundant number, since it is smaller than the sum of its proper divisors (26025696).

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

13810464 is a wasteful number, since it uses less digits than its factorization.

13810464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13810464 is about 3716.2432643733. The cubic root of 13810464 is about 239.9216410856.

The spelling of 13810464 in words is "thirteen million, eight hundred ten thousand, four hundred sixty-four".