11767264 has 48 divisors (see below), whose sum is σ = 24893568. Its totient is φ = 5455872.

The previous prime is 11767253. The next prime is 11767267. The reversal of 11767264 is 46276711.

It is a happy number.

11767264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11767267) 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, 52657 + ... + 52879.

It is an arithmetic number, because the mean of its divisors is an integer number (518616).

Almost surely, 2^11767264 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 11767264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446784).

11767264 is an abundant number, since it is smaller than the sum of its proper divisors (13126304).

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

11767264 is a wasteful number, since it uses less digits than its factorization.

11767264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 11767264 is about 3430.3445891047. The cubic root of 11767264 is about 227.4530853628.

The spelling of 11767264 in words is "eleven million, seven hundred sixty-seven thousand, two hundred sixty-four".