13107264 has 56 divisors (see below), whose sum is σ = 36515040. Its totient is φ = 4137984.

The previous prime is 13107251. The next prime is 13107293. The reversal of 13107264 is 46270131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1852 + ... + 5444.

Almost surely, 2^13107264 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 13107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257520).

13107264 is an abundant number, since it is smaller than the sum of its proper divisors (23407776).

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

13107264 is a wasteful number, since it uses less digits than its factorization.

13107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13107264 is about 3620.3955584991. The cubic root of 13107264 is about 235.7783996656.

Adding to 13107264 its reverse (46270131), we get a palindrome (59377395).

It can be divided in two parts, 131072 and 64, that multiplied together give a 23-rd power (8388608 = 2²³).

The spelling of 13107264 in words is "thirteen million, one hundred seven thousand, two hundred sixty-four".