11780560 has 60 divisors (see below), whose sum is σ = 30130884. Its totient is φ = 4280320.

The previous prime is 11780557. The next prime is 11780579. The reversal of 11780560 is 6508711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 7683984 = 2024^2 + 2772^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9072 + ... + 10288.

Almost surely, 2^11780560 is an apocalyptic number.

11780560 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 11780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065442).

11780560 is an abundant number, since it is smaller than the sum of its proper divisors (18350324).

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

11780560 is a wasteful number, since it uses less digits than its factorization.

11780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 11780560 is about 3432.2820396931. The cubic root of 11780560 is about 227.5387206162.

The spelling of 11780560 in words is "eleven million, seven hundred eighty thousand, five hundred sixty".