11765264 has 40 divisors (see below), whose sum is σ = 26426880. Its totient is φ = 4969728.

The previous prime is 11765263. The next prime is 11765269. The reversal of 11765264 is 46256711.

It is a self number, because there is not a number n which added to its sum of digits gives 11765264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11765261) 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, 7457 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (660672).

Almost surely, 2^11765264 is an apocalyptic number.

11765264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11765264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213440).

11765264 is an abundant number, since it is smaller than the sum of its proper divisors (14661616).

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

11765264 is a wasteful number, since it uses less digits than its factorization.

11765264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 11765264 is about 3430.0530608141. The cubic root of 11765264 is about 227.4401984265.

The spelling of 11765264 in words is "eleven million, seven hundred sixty-five thousand, two hundred sixty-four".