13083264 has 96 divisors (see below), whose sum is σ = 38705940. Its totient is φ = 4239360.

The previous prime is 13083233. The next prime is 13083299. The reversal of 13083264 is 46238031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 2585664 = 3240^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 47094 + ... + 47370.

Almost surely, 2^13083264 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 13083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352970).

13083264 is an abundant number, since it is smaller than the sum of its proper divisors (25622676).

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

13083264 is a wasteful number, since it uses less digits than its factorization.

13083264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

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

The square root of 13083264 is about 3617.0794848883. The cubic root of 13083264 is about 235.6344047308.

The spelling of 13083264 in words is "thirteen million, eighty-three thousand, two hundred sixty-four".