13110464 has 28 divisors (see below), whose sum is σ = 26237184. Its totient is φ = 6499584.

The previous prime is 13110463. The next prime is 13110481. The reversal of 13110464 is 46401131.

13110464 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (13110463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7322 + ... + 8934.

Almost surely, 2^13110464 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 13110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118592).

13110464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

13110464 is a wasteful number, since it uses less digits than its factorization.

13110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13110464 is about 3620.8374721879. The cubic root of 13110464 is about 235.7975857060.

Adding to 13110464 its reverse (46401131), we get a palindrome (59511595).

It can be divided in two parts, 131104 and 64, that multiplied together give a triangular number (8390656 = T₄₀₉₆).

The spelling of 13110464 in words is "thirteen million, one hundred ten thousand, four hundred sixty-four".