11759680 has 28 divisors (see below), whose sum is σ = 28003500. Its totient is φ = 4703744.

The previous prime is 11759653. The next prime is 11759681. The reversal of 11759680 is 8695711.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 9096256 = 1632^2 + 3016^2 .

It is not an unprimeable number, because it can be changed into a prime (11759681) 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, 18055 + ... + 18694.

It is an arithmetic number, because the mean of its divisors is an integer number (1000125).

Almost surely, 2^11759680 is an apocalyptic number.

11759680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11759680 is an abundant number, since it is smaller than the sum of its proper divisors (16243820).

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

11759680 is an equidigital number, since it uses as much as digits as its factorization.

11759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36766 (or 36756 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 11759680 is about 3429.2389826316. The cubic root of 11759680 is about 227.4042103675.

The spelling of 11759680 in words is "eleven million, seven hundred fifty-nine thousand, six hundred eighty".