13407264 has 72 divisors (see below), whose sum is σ = 41071212. Its totient is φ = 4124160.

The previous prime is 13407259. The next prime is 13407281. The reversal of 13407264 is 46270431.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 11664 = 3660^2 + 108^2 .

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1954 + ... + 5534.

Almost surely, 2^13407264 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 13407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20535606).

13407264 is an abundant number, since it is smaller than the sum of its proper divisors (27663948).

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

13407264 is a wasteful number, since it uses less digits than its factorization.

13407264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13407264 is about 3661.5930959078. The cubic root of 13407264 is about 237.5636852298.

Adding to 13407264 its reverse (46270431), we get a palindrome (59677695).

The spelling of 13407264 in words is "thirteen million, four hundred seven thousand, two hundred sixty-four".