11760544 has 72 divisors (see below), whose sum is σ = 26339040. Its totient is φ = 5144832.

The previous prime is 11760527. The next prime is 11760547. The reversal of 11760544 is 44506711.

11760544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11760547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405522 + ... + 405550.

It is an arithmetic number, because the mean of its divisors is an integer number (365820).

Almost surely, 2^11760544 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 11760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169520).

11760544 is an abundant number, since it is smaller than the sum of its proper divisors (14578496).

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

11760544 is a wasteful number, since it uses less digits than its factorization.

11760544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 11760544 is about 3429.3649557899. The cubic root of 11760544 is about 227.4097794653.

It can be divided in two parts, 117605 and 44, that added together give a 6-th power (117649 = 7⁶).

The spelling of 11760544 in words is "eleven million, seven hundred sixty thousand, five hundred forty-four".