11779560 has 128 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 2896128.

The previous prime is 11779541. The next prime is 11779561. The reversal of 11779560 is 6597711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11779561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13621 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^11779560 is an apocalyptic number.

11779560 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 11779560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

11779560 is an abundant number, since it is smaller than the sum of its proper divisors (30556440).

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

11779560 is a wasteful number, since it uses less digits than its factorization.

11779560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 11779560 is about 3432.1363609274. The cubic root of 11779560 is about 227.5322821798.

It can be divided in two parts, 117795 and 60, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 11779560 in words is "eleven million, seven hundred seventy-nine thousand, five hundred sixty".