11759280 has 80 divisors (see below), whose sum is σ = 39268320. Its totient is φ = 2893824.

The previous prime is 11759273. The next prime is 11759287. The reversal of 11759280 is 8295711.

It is an interprime number because it is at equal distance from previous prime (11759273) and next prime (11759287).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11759280² = 276561332236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11759287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236 + ... + 5004.

It is an arithmetic number, because the mean of its divisors is an integer number (490854).

Almost surely, 2^11759280 is an apocalyptic number.

11759280 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 11759280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634160).

11759280 is an abundant number, since it is smaller than the sum of its proper divisors (27509040).

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

11759280 is a wasteful number, since it uses less digits than its factorization.

11759280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11759280 is about 3429.1806601578. The cubic root of 11759280 is about 227.4016319891.

The spelling of 11759280 in words is "eleven million, seven hundred fifty-nine thousand, two hundred eighty".