11739264 has 64 divisors (see below), whose sum is σ = 32844000. Its totient is φ = 3704832.

The previous prime is 11739257. The next prime is 11739281. The reversal of 11739264 is 46293711.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6492 + ... + 8100.

Almost surely, 2^11739264 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 11739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422000).

11739264 is an abundant number, since it is smaller than the sum of its proper divisors (21104736).

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

11739264 is a wasteful number, since it uses less digits than its factorization.

11739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1633 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 11739264 is about 3426.2609357724. The cubic root of 11739264 is about 227.2725351950.

The spelling of 11739264 in words is "eleven million, seven hundred thirty-nine thousand, two hundred sixty-four".