13126464 has 84 divisors (see below), whose sum is σ = 40541956. Its totient is φ = 4036608.

The previous prime is 13126447. The next prime is 13126469. The reversal of 13126464 is 46462131.

13126464 is a `hidden beast` number, since 1 + 3 + 12 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 12110400 = 1008^2 + 3480^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13126469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6612 + ... + 8364.

Almost surely, 2^13126464 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 13126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270978).

13126464 is an abundant number, since it is smaller than the sum of its proper divisors (27415492).

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

13126464 is a wasteful number, since it uses less digits than its factorization.

13126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1771 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13126464 is about 3623.0462321091. The cubic root of 13126464 is about 235.8934691075.

Adding to 13126464 its reverse (46462131), we get a palindrome (59588595).

It can be divided in two parts, 131264 and 64, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 13126464 in words is "thirteen million, one hundred twenty-six thousand, four hundred sixty-four".