13126064 has 40 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 5583168.

The previous prime is 13126063. The next prime is 13126079. The reversal of 13126064 is 46062131.

It is a happy number.

It is a super-2 number, since 2×13126064² = 344587112264192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13126063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17897 + ... + 18615.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 2^13126064 is an apocalyptic number.

13126064 is a gapful number since it is divisible by the number (14) 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 13126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

13126064 is an abundant number, since it is smaller than the sum of its proper divisors (16157776).

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

13126064 is a wasteful number, since it uses less digits than its factorization.

13126064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13126064 is about 3622.9910295224. The cubic root of 13126064 is about 235.8910729723.

Adding to 13126064 its reverse (46062131), we get a palindrome (59188195).

The spelling of 13126064 in words is "thirteen million, one hundred twenty-six thousand, sixty-four".