11760640 has 44 divisors (see below), whose sum is σ = 28224036. Its totient is φ = 4702208.

The previous prime is 11760607. The next prime is 11760649. The reversal of 11760640 is 4606711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 6885376 = 2208^2 + 2624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11760649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3972 + ... + 6268.

Almost surely, 2^11760640 is an apocalyptic number.

11760640 is a gapful number since it is divisible by the number (10) 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 11760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112018).

11760640 is an abundant number, since it is smaller than the sum of its proper divisors (16463396).

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

11760640 is an equidigital number, since it uses as much as digits as its factorization.

11760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 11760640 is about 3429.3789525219. The cubic root of 11760640 is about 227.4103982372.

The spelling of 11760640 in words is "eleven million, seven hundred sixty thousand, six hundred forty".